A homological version of the implicit function theorem
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Data
2006-06-01
Autores
Biasi, C.
dos Santos, E. L.
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Editor
Springer
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.
Descrição
Palavras-chave
Implicit Function Theorem, topological monoids, topological groups, Lie groups, generalized manifolds
Como citar
Semigroup Forum. New York: Springer, v. 72, n. 3, p. 353-361, 2006.