Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Strong shape for topological spaces


Authors: Jerzy Dydak and Sławomir Nowak
Journal: Trans. Amer. Math. Soc. 323 (1991), 765-796
MSC: Primary 55P55; Secondary 54C56, 55N07
DOI: https://doi.org/10.1090/S0002-9947-1991-0986690-2
MathSciNet review: 986690
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Strong shape equivalences for topological spaces are introduced in a way which generalizes easily to inverse systems of topological spaces. Each space is then mapped via a strong shape equivalence into a fibrant inverse system of ANRs. This leads naturally to defining the strong shape category SSh for topological spaces. Other descriptions of SSh are also provided.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 55P55, 54C56, 55N07

Retrieve articles in all journals with MSC: 55P55, 54C56, 55N07


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1991-0986690-2
Keywords: Shape, fibrations, homotopy equivalences, absolute neighborhood retracts, function spaces
Article copyright: © Copyright 1991 American Mathematical Society