Homology, Homotopy and Applications
- Homology Homotopy Appl.
- Volume 5, Number 1 (2003), 213-218.
P-embeddings, AR and ANR spaces
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.
Homology Homotopy Appl., Volume 5, Number 1 (2003), 213-218.
First available in Project Euclid: 13 February 2006
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
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
Stramaccia, L. P-embeddings, AR and ANR spaces. Homology Homotopy Appl. 5 (2003), no. 1, 213--218. https://projecteuclid.org/euclid.hha/1139839932