A homological version of the implicit function theorem
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
20/05/2014
20/05/2014
01/06/2006
|
Resumo |
Our objective in this paper is to prove an Implicit Function Theorem for general topological spaces. As a consequence, we show that, under certain conditions, the set of the invertible elements of a topological monoid X is an open topological group in X and we use the classical topological group theory to conclude that this set is a Lie group. |
Formato |
353-361 |
Identificador |
http://dx.doi.org/10.1007/s00233-006-0601-x Semigroup Forum. New York: Springer, v. 72, n. 3, p. 353-361, 2006. 0037-1912 http://hdl.handle.net/11449/39694 10.1007/s00233-006-0601-x WOS:000238024000002 |
Idioma(s) |
eng |
Publicador |
Springer |
Relação |
Semigroup Forum |
Direitos |
closedAccess |
Palavras-Chave | #Implicit Function Theorem #topological monoids #topological groups #Lie groups #generalized manifolds |
Tipo |
info:eu-repo/semantics/article |