×

Several characterizations of SSDR-maps. (English) Zbl 0589.55005

The paper contains several new characterizations of SSDR-maps (SSDR \(= shape\) strong deformation retract) which had been defined by F. W. Cathey [”Strong shape theory”, Thesis, Univ. Washington (1979); Lect. Notes Math. 870, 215-238 (1981; Zbl 0473.55011)] as a shape version of D. G. Quillen’s concept of trivial cofibration [Homotopical algebra, Lect. Notes Math. 43 (1967; Zbl 0168.209)].
Reviewer: K.H.Kamps

MSC:

55P55 Shape theory
55U35 Abstract and axiomatic homotopy theory in algebraic topology
55R05 Fiber spaces in algebraic topology
54C55 Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties)
55P05 Homotopy extension properties, cofibrations in algebraic topology
PDFBibTeX XMLCite