Comparison of proper shape and proper shape over finite coverings-Reference-Cited by-同舟云学术

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Comparison of proper shape and proper shape over finite coverings

Published:2023 Issue:29 Volume:37 Page:9991-9998
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Shekutkovski Nikita¹,Buklla Abdulla¹

Affiliation:

1. Institute of Mathematics, Faculty of Natural Sciences and Mathematics, Sts. Cyril and Methodius University, Skopje, N. Macedonia

Abstract

The theory of proper shape over finite coverings, defined in [8], uses only finite coverings to compare noncompact spaces. In this paper we investigate the relations between this theory and the proper shape defined by Ball and Sherr in [3]. We show that if two spaces have same proper shape they belong to the same class in theory of proper shape over finite coverings, but the opposite doesn?t hold in general.

Publisher

National Library of Serbia

Reference10 articles.

1. Y. Akaike, K. Sakai., Describing the proper n-shape category by using non-continuous functions, Glas. Mat. 53 (1998), 299-321.

2. B. J. Ball, Alternative approaches to proper shape theory, Studies in Topology, (1975), 1-27.

3. B. J. Ball, R. B. Sher, A theory of proper shape for locally compact metric spaces, Bull. Amer. Math. Soc. 79 (1973), 2016-2021.

4. K. Borsuk, Theory of Shape, Polish Scientific Publisher, Warszawa, 1975.

5. N. Shekutkovski, A. Buklla, Product of equivalences in the proper shape over finite coverings is equivalence, Serdica Math. J. 44 (2018), 121-136.

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