Isomorphism Problems for the Baire Function Spaces of Topological Spaces

Let a compact Hausdorff space X contain a non-empty perfect subset. If α < β and β is a countable ordinal, then the Banach space Bα (X) of all bounded real-valued functions of Baire class α on X is a proper subspace of the Banach space Bβ (X). In this paper it is shown that: 1. Bα (X) has a representation as C(bα X), where bα X is a compactification of the space P X – the underlying set of X in the Baire topology generated by the Gδ -sets in X. 2. If 1 ≤ α < β ≤ Ω, where Ω is the first uncountable ordinal number, then Bα (X) is uncomplemented as a closed subspace of Bβ (X). These assertions for X = [0, 1] were proved by W. G. Bade [4] and in the case when X contains an uncountable compact metrizable space – by F.K.Dashiell [9]. Our argumentation is one non-metrizable modification of both Bade’s and Dashiell’s methods.

Regular and Other Kinds of Extensions of Topological Spaces

∗ This work was partially supported by the National Foundation for Scientific Researches at the Bulgarian Ministry of Education and Science under contract no. MM-427/94.

One's own country and familiar places in the mind's eye:different topological representations for navigational and non-navigational contents

Visual mental imagery is a process that draws on different cognitive abilities and is affected by the contents of mental images. Several studies have demonstrated that different brain areas subtend the mental imagery of navigational and non-navigational contents. Here, we set out to determine whether there are distinct representations for navigational and geographical images. Specifically, we used a Spatial Compatibility Task (SCT) to assess the mental representation of a familiar navigational space (the campus), a familiar geographical space (the map of Italy) and familiar objects (the clock). Twenty-one participants judged whether the vertical or the horizontal arrangement of items was correct. We found that distinct representational strategies were preferred to solve different categories on the SCT, namely, the horizontal perspective for the campus and the vertical perspective for the clock and the map of Italy. Furthermore, we found significant effects due to individual differences in the vividness of mental images and in preferences for verbal versus visual strategies, which selectively affect the contents of mental images. Our results suggest that imagining a familiar navigational space is somewhat different from imagining a familiar geographical space. © 2014 Elsevier Ireland Ltd.

Pseudo-Compact Semi-Topological Groups

Митрофан М. Чобан, Петър Ст. Кендеров, Уорън Б. Муурс - Полу-топологична група (съответно, топологична група) е група, снабдена с топология, относно която груповата оперция произведение е частично непрекъсната по всяка от променливите (съответно, непрекъсната по съвкупност от променливите и обратната операция е също непрекъсната). В настоящата работа ние даваме условия, от топологичен характер, една полу-топологична група да е всъщност топологична група. Например, ние показваме, че всяка сепарабелна псевдокомпактна полу-топологична група е топологична група. Показваме също, че всяка локално псевдокомпактна полу-топологична група, чиято групова операция е непрекъсната по съвкупност от променливите е топологична група.

About Topological Groups and the Baire Property in Remainders

Александър В. Архангелски, Митрофан М. Чобан, Екатерина П. Михайлова - Изследвани са прирасти със свойството на Бер на топологични групи.

On Local Uniform Topological Algebras

2000 Mathematics Subject Classification: Primary 46H05, 46H20; Secondary 46M20.

Type space on a purely measurable parameter space

Several game theoretical topics require the analysis of hierarchical beliefs, particularly in incomplete information situations. For the problem of incomplete information, Hars´anyi suggested the concept of the type space. Later Mertens & Zamir gave a construction of such a type space under topological assumptions imposed on the parameter space. The topological assumptions were weakened by Heifetz, and by Brandenburger & Dekel. In this paper we show that at very natural assumptions upon the structure of the beliefs, the universal type space does exist. We construct a universal type space, which employs purely a measurable parameter space structure.

The non-existence of a universal topological type space

The concept of types was introduced by Harsányi[8]. In the literature there are two approaches for formalizing types, type spaces: the purely measurable and the topological models. In the former framework Heifetz and Samet [11] showed that the universal type space exists and later Meier[13] proved that it is complete. In this paper we examine the topological approach and conclude that there is no universal topological type space in the category of topological type spaces.

The usefulness and appropriateness of a federalist perspective as a theoretical construct for the study of government and civics at the secondary level

This dissertation is the formulation of an argument for the incorporation of a liberated federalism perspective as the foundational theoretical construct for the teaching and study of American government and civics at the secondary level. The argument asserts that the history of the nation, in terms of its basic view of government, has developed from a traditional federalist view to a natural rights view. Instruction of government and politics has paralleled that development. The argument further asserts that the current dependence on the natural rights perspective has contributed and helped legitimize, however unintentionally, the excessive levels of individualism, self-absorption, and uncivil behavior that is being experienced in our society today.^ The argumentation follows the dialectic form presented by Hegel of thesis, antithesis, and synthesis. That is, the thesis argues that the traditional federalist perspective would serve as a viable construct for the teaching of government and civics. In this portion of the argument, the republican model of political reality is presented. The antithesis promotes the natural rights perspective and relies on the political systems model for its theoretical approach. Finally, the synthesis argues that a liberated federalism perspective should be the foundational construct. Here, the argument presents its own model as a theoretical construct that is designed to assist teachers and curriculum materials writers in the development of American government and civics lessons and materials. ^

A validation study of the construct "jealousy" in eleven- to fourteen-month-old infants: Evidence for its divergence from "fear" and "anger"

There has been increasing interest in expanding the scope of the study of the "basic" emotions and their development in infancy to include more of the so-called "complex" emotions like jealousy. This dissertation investigated evidence for the divergence of jealousy in infants from both fear and anger, two of the basic emotions said to be precursors and contributors to the emergence of jealousy in the later part of the first year of life. Participants judged how well eight emotion-denoting terms (including jealousy, anger and fear) described infants' emotionality in fear-, anger-, and jealousy-provoking situations in which the social context of the emotion episodes was either included or excluded. Differences within and between participants' judgments of the eight terms in the two context conditions were examined across the three emotion-provoking conditions. Results suggested that infants' emotional behavior denoting jealousy was not judged differently from behavior denoting anger or fear in the absence of contextual information and, that when contextual information was provided, attributions of infant jealousy, anger, and fear were made "correctly" for their respective target emotion conditions. ^

Assessing the construct validity of a measure of learning agility

This study examined the construct validity of the Choices questionnaire that purported to support the theory of Learning Agility. Specifically, Learning Agility attempts to predict an individual's potential performance in new tasks. The construct validity will be measured by examining the convergent/discriminant validity of the Choices Questionnaire against a cognitive ability measure and two personality measures. The Choices Questionnaire did tap a construct that is unique to the cognitive ability and the personality measures, thus suggesting that this measure may have considerable value in personnel selection. This study also examined the relationship of this pew measure to job performance and job promotability. Results of this study found that the Choices Questionnaire predicted job performance and job promotability above and beyond cognitive ability and personality. Data from 107 law enforcement officers, along with two of their co-workers and a supervisor resulted in a correlation of .08 between Learning Agility and cognitive ability. Learning Agility correlated .07 with Learning Goal Orientation and. 17 with Performance Goal Orientation. Correlations with the Big Five Personality factors ranged from −.06 to. 13 with Conscientiousness and Openness to Experience, respectively. Learning Agility correlated .40 with supervisory ratings of job promotability and correlated .3 7 with supervisory ratings of overall job performance. Hierarchical regression analysis found incremental validity for Learning Agility over cognitive ability and the Big Five factors of personality for supervisory ratings of both promotability and overall job performance. A literature review was completed to integrate the Learning Agility construct into a nomological net of personnel selection research. Additionally, practical applications and future research directions are discussed. ^

The construct of work commitment: Testing an integrative framework

This dissertation meta-analytically examined the expansive material associated with work commitment. Work commitment, a multidimensional construct, encompasses the level of involvement an employee has with his or her work, organization, job, career, and union (Morrow & Goetz, 1998). Each of the dimensions of work commitment has been further divided into a number of subdimensions. The primary purpose of this study was to (1) cumulate the correlations found among each of the dimensions of work commitment to see which, if any, were intercorrelated, and to (2) determine the impact of work commitment dimensions and subdimensions on specific outcome variables (job satisfaction, job performance, and turnover). ^ A number of interesting results stemmed from the 213 separate meta-analyses that were conducted. First, the evidence did not indicate that all of the subdimensions for each respective dimension were positively correlated. Specifically, there was not enough evidence to indicate that continuance organizational commitment was positively correlated with its other organizational commitment subdimensions. Future research might consider revamping the work commitment taxonomy so that all subdimensions that fall within a particular dimension are interrelated. It might be appropriate, therefore, to drop continuance organizational commitment from the work commitment taxonomy. Second, while most of the respective dimensions were interrelated, this was not the case across the board. For instance, there was no evidence of a significant positive relationship between organizational commitment and union commitment. In fact, the only significant relationship was negative between organizational commitment and belief in unionism. Further, there was no evidence of a positive relationship between union commitment and either work ethic endorsement or job involvement, respectively. These findings supported Morrow's (1993) rationale for excluding union commitment from the work commitment taxonomy. ^

Melissa Romigh carrying wood to construct boardwalk in mangrove forest, Shark River Slough

This material is based upon work supported by the National Science Foundation through the Florida Coastal Everglades Long-Term Ecological Research program under Cooperative Agreements #DBI-0620409 and #DEB-9910514. This image is made available for non-commercial or educational use only.

Exploring calling work orientation: Construct clarity and organizational implications

Employees maintain a personal view toward their work, which can be referred to as their work orientation. Some employees view their work as their life's purpose (i.e., calling work orientation) and they tend to be 1) prosocially motivated, 2) derive meaning from work, and 3) feel that their purpose is from beyond the self. The purpose of the current dissertation was to differentiate calling work orientation from other similar workplace constructs, to investigate the most common covariates of calling work orientation, and to empirically test two possible moderators of the relationship between calling work orientation and work-related outcomes of job satisfaction, job performance, and work engagement. Two independent samples were collected for the purpose of testing hypotheses: data were collected from 520 working students and from 520 non-student employees. Participants from the student sample were recruited at Florida International University, and participants from the employee sample were recruited via the Amazon Mechanical Turk website. Participants from the student sample answered demographic questions and responded to self-report measures of job satisfaction, job performance, work engagement, spirituality, meaningful work, prosocial motivation, and work orientation. The procedure was similar for the employee sample, but their survey also included measures of counterproductive work behaviors, organizational citizenship behaviors, conscientiousness, and numerical ability. Additionally, employees were asked whether they would be willing to have a direct supervisor, peer, co-worker, client, or subordinate rate their job performance. Hierarchical regression findings suggest calling work orientation was predictive of overall job performance above and beyond two common predictors of performance, conscientiousness and numerical ability. The results for the covariate analyses provided evidence that prosocial motivation, meaningful work, and spirituality do play a significant role in the development of an employees' work orientation. Perceived career opportunities moderated the relationship between calling work orientation and job performance for the employee sample. Core self-evaluations moderated the relationship between calling work orientation and job performance, and core self-evaluations moderated the relationship between calling work orientation and work engagement. Collectively, findings from the current study highlight the benefits of examining work orientation in the prediction of workplace outcomes.