Detectando fatores de variedade de codimensão um com propriedades de posição geral

AUTOR(ES)
DATA DE PUBLICAÇÃO

2010

RESUMO

This work is an approach to the famous "Product with a Line Problem". It investigates the class of topological spaces whose cartesian product with R is a topological manifold. Such spaces are called "Codimension One Manifold Factors". Based mainly on [5, 7, 14, 15, 24], we introduce the concept of generalized manifolds, which are separable ANR spaces with same local homological behavior that the topological manifolds, we define DAP, DADP, DDP, DHP, DCP general position properties and, through these concepts and a machinery topological-algebraic, we have got answers to the motivator problem. Even about the strategic importance of the DHP general position property, we studied a criterion to detect it into the generalized manifolds category, namely, the P2MP.

ASSUNTO(S)

generalized manifolds codimension one manifold factors, general position extension theorems topology topologia propriedades de posição geral properties variedades topológicas variedades generalizadas topologia algébrica variedades homológicas topologia algebrica teoremas de extensão

ACESSO AO ARTIGO

Documentos Relacionados