Homology, Homotopy and Applications

P-embeddings, AR and ANR spaces

L. Stramaccia

Full-text: Open access

Abstract

Generalizations of Borsuk's characterization theorems for AR and ANR spaces (for metrizable spaces) are provided. Moreover, a simple proof of Morita's theorem is given, in generalization of Borsuk's homotopy extension theorem.

Article information

Source
Homology Homotopy Appl., Volume 5, Number 1 (2003), 213-218.

Dates
First available in Project Euclid: 13 February 2006

Permanent link to this document
https://projecteuclid.org/euclid.hha/1139839932

Mathematical Reviews number (MathSciNet)
MR1989618

Zentralblatt MATH identifier
1030.54016

Subjects
Primary: 54C55: Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) [See also 55M15]
Secondary: 18A30: Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) 54C20: Extension of maps 54E35: Metric spaces, metrizability 55P05: Homotopy extension properties, cofibrations

Citation

Stramaccia, L. P-embeddings, AR and ANR spaces. Homology Homotopy Appl. 5 (2003), no. 1, 213--218. https://projecteuclid.org/euclid.hha/1139839932


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