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.