Uglešić, N. Several characterizations of SSDR-maps. (English) Zbl 0589.55005 Mat. Vesn. 36, 371-386 (1984). 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 Keywords:extension property; lifting property; approximate lifting property; shape strong deformation retract; Strong shape theory Citations:Zbl 0473.55011; Zbl 0168.209 PDFBibTeX XMLCite \textit{N. Uglešić}, Mat. Vesn. 36, 371--386 (1984; Zbl 0589.55005)