Movable morphisms in strong shape category

In [3], [4] and [8] we introduced and studied various types of movability for the (ordinary) shape morphisms and maps. In the present paper we use those ideas to define some movability properties for strong shape morphisms. As an application a theorem on strong shape equivalences is proved.

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Bibliographische Detailangaben
Veröffentlicht in:	Topology and its applications 2020-04, Vol.275, p.107001, Article 107001
Hauptverfasser:	Gevorgyan, P.S., Pop, I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Coherent homotopy groups Movable coherent morphisms Movable shape morphism Movable strong shape morphism Shape equivalence Strong shape equivalence Strong shape weak equivalence Weak shape equivalence
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Beschreibung
Zusammenfassung:	In [3], [4] and [8] we introduced and studied various types of movability for the (ordinary) shape morphisms and maps. In the present paper we use those ideas to define some movability properties for strong shape morphisms. As an application a theorem on strong shape equivalences is proved.
ISSN:	0166-8641 1879-3207
DOI:	10.1016/j.topol.2019.107001