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On properties of approximate fibrations. I. (English) Zbl 0921.55014

Summary: This continuation of our paper [Topology Appl. 76, No. 1, 9-26 (1997; Zbl 0872.55015)] explores further some basic properties of shape and approximate fibrations of arbitrary topological spaces using relations. Our method is to use relations with smaller and smaller images of points. The paper is self-reliant and does not require extensive knowledge of relations.

MSC:

55R65 Generalizations of fiber spaces and bundles in algebraic topology
54C56 Shape theory in general topology
54C60 Set-valued maps in general topology
55P55 Shape theory

Citations:

Zbl 0872.55015
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