Biasi, C.dos Santos, E. L.2014-05-202014-05-202006-06-01Semigroup Forum. New York: Springer, v. 72, n. 3, p. 353-361, 2006.0037-1912http://hdl.handle.net/11449/39694Our 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.353-361engImplicit Function Theoremtopological monoidstopological groupsLie groupsgeneralized manifoldsA homological version of the implicit function theoremArtigo10.1007/s00233-006-0601-xWOS:000238024000002Acesso restrito