Glasnik Matematicki, Vol. 50, No. 1 (2015), 233-243.
FACTORIZATION OF UNIFORMLY CONTINUOUS MAPS THROUGH UNIFORM SHAPE FIBRATIONS
Department of Mathematics and Informatics, Graduate School of Human Development and Environment,
Kobe University, 3-11 Tsurukabuto, Nada-Ku, Kobe, 657-8501 Japan
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.
2010 Mathematics Subject Classification.
Key words and phrases. Uniform shape fibration, uniform homotopy lifting property, factorization axiom.
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