Original scientific paper

https://doi.org/10.3336/gm.50.1.14

Factorization of uniformly continuous maps through uniform shape fibrations

Takahisa Miyata ; Department of Mathematics and Informatics, Graduate School of Human Development and Environment, Kobe University, 3-11 Tsurukabuto, Nada-Ku, Kobe, 657-8501 Japan

Abstract

It is well-known that every continuous map is the composite of a homotopy equivalence and a fibration. In this paper, we introduce the notion of uniform shape fibration, and show that every uniformly continuous map is the composite of a uniform shape equivalence and a uniform shape fibration.

Keywords

Uniform shape fibration; uniform homotopy lifting property; factorization axiom

Hrčak ID:

140104

URI

https://hrcak.srce.hr/140104

Publication date:

15.6.2015.

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