Matevž Črepnjak (Author), Teja Kac (Author)

Abstract

It is a well-known fact that there are continua X such that the inverse limit of any inverse sequence {X, fn} with surjective continuous bonding functions fn is homeomorphic to X. The pseudoarc or any Cook continuum are examples of such continua. Recently, a large family of continua X was constructed in such a way that X is 1/m-rigid and the inverse limit of any inverse sequence {X, fn} with surjective continuous bonding functions fn is homeomorphic to X by Banič and Kac. In this paper, we construct an uncountable family of pairwise non-homeomorphic continua X such that X is 0-rigid and prove that for any sequence (fn) of continuous surjections on X, the inverse limit lim{X, fn} is homeomorphic to X.

Keywords

kontinua;tog kontinuum;stopnja togosti;zvezde kontinuuma;inverzne meje;continua;Cook continua;rigid continua;degree of rigidity;stars of continua;inverse limits;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UM FNM - Faculty of Natural Sciences and Mathematics
Publisher: Springer Nature
UDC: 515.128
COBISS: 150129923 Link will open in a new window
ISSN: 1575-5460
Views: 125
Downloads: 2
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Other data

Secondary language: Slovenian
Secondary keywords: Matematika;Topologija;
Type (COBISS): Article
Pages: 13 str.
Volume: ǂVol. ǂ22
Issue: ǂiss. ǂ2, [article no.] 80
Chronology: 2023
DOI: 10.1007/s12346-023-00777-0
ID: 23187519
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