Homology, Homotopy and Applications
Volume 5 (2003)
P-embeddings, AR and ANR spaces
Pages: 213 – 218
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.
continuous pseudometric, metric expansion, proreflection, P-embedding, absolute (neighborhood) retract, homotopy extension property
2010 Mathematics Subject Classification
18A30, 54C20, 54C56, 54E35, 55P05