Simplicial inverse sequences in extension theory

Autor:	Rubin, Leonard R., Tonić, Vera
Rok vydání:	2017
Předmět:	Mathematics - Geometric Topology Mathematics - Algebraic Topology Mathematics - General Topology
Druh dokumentu:	Working Paper
Popis:	In extension theory, in particular in dimension theory, it is frequently useful to represent a given compact metrizable space X as the limit of an inverse sequence of compact polyhedra. We are going to show that, for the purposes of extension theory, it is possible to replace such an X by a better metrizable compactum Z. This Z will come as the limit of an inverse sequence of triangulated polyhedra with simplicial bonding maps that factor in a certain way. There will be a cell-like map from Z to X, and we shall show that if K is a CW-complex which is an absolute extensor for X, then K is also an absolute extensor for Z. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1703.04339 Zobrazit plný text záznamu View this record from Arxiv