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2002 Topology with monoidal control
René Depont Christensen, Hans Jørgen Munkholm
Homology Homotopy Appl. 4(1): 213-234 (2002).

Abstract

This paper defines monoidal control, which is a specialization of control by entourage as presented in [5]. It is shown that on metric spaces monoidal control generalizes bounded control, and describes continuous control. A systematic way of obtaining results from bounded control, in the sense of [1], as results of monoidal-, and hence continouos-, control, is developed. Especially this provides versions of the Hurewicz and Whitehead theorems with monoidal control, thus simultaneously establishing them for continouos control over metric spaces.

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René Depont Christensen. Hans Jørgen Munkholm. "Topology with monoidal control." Homology Homotopy Appl. 4 (1) 213 - 234, 2002.

Information

Published: 2002
First available in Project Euclid: 13 February 2006

zbMATH: 1380.55016
MathSciNet: MR1983017

Subjects:
Primary: 55U35
Secondary: 18D10 , 18E10

Rights: Copyright © 2002 International Press of Boston

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Vol.4 • No. 1 • 2002
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