Wecken type problems for self-maps of the Klein bottle

We consider various problems regarding roots and coincidence points for maps into the Klein bottle . The root problem where the target is and the domain is a compact surface with non-positive Euler characteristic is studied. Results similar to those when the target is the torus are obtained. The Wecken property for coincidences from to is established, and we also obtain the following 1-parameter result. Families which are coincidence free but any homotopy between and , , creates a coincidence with . This is done for any pair of maps such that the Nielsen coincidence number is zero. Finally, we exhibit one such family where is the constant map and if we allow for homotopies of , then we can find a coincidence free pair of homotopies.

Comparison measures of maps generated by geostatistical methods

This study uses several measures derived from the error matrix for comparing two thematic maps generated with the same sample set. The reference map was generated with all the sample elements and the map set as the model was generated without the two points detected as influential by the analysis of local influence diagnostics. The data analyzed refer to the wheat productivity in an agricultural area of 13.55 ha considering a sampling grid of 50 x 50 m comprising 50 georeferenced sample elements. The comparison measures derived from the error matrix indicated that despite some similarity on the maps, they are different. The difference between the estimated production by the reference map and the actual production was of 350 kilograms. The same difference calculated with the mode map was of 50 kilograms, indicating that the study of influential points is of fundamental importance to obtain a more reliable estimative and use of measures obtained from the error matrix is a good option to make comparisons between thematic maps.

Digital library of historical cartography: open access to cultural heritage and public good

This paper describes the integration of information between Digital Library of Historical Cartography and Bibliographical Database (DEDALUS), both of the University of São Paulo (USP), to guarantee open, public access by Internet to the maps in the collection and make them available to users everywhere. This digital library was designed by Historical Cartography Studies Laboratory team (LECH/USP), and provides maps images on the Web, of high resolution, as well as such information on these maps as technical-scientific data (projection, scale, coordinates), printing techniques and material support that have made their circulation and cultural consumption possible. The Digital Library of Historical Cartography is accessible not only to the historical cartography researchers, but also to students and the general public. Beyond being a source of information about maps, the Digital Library of Historical Cartography seeks to be interactive, exchanging information and seeking dialogue with different branches of knowledge