20.500.12556/DKUM-87542 Uncountable family of 0-rigid continua that are homeomorphic to their inverse limits 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. continua Cook continua rigid continua degree of rigidity stars of continua inverse limits kontinuumi Cookovi kontinuumi togi kontinuumi stopnja togosti zvezde kontinuumov inverzne meje true true true Springer Nature Angleški jezik Slovenski jezik https://link.springer.com/journal/12346 Članek v reviji 2024-03-20 15:07:19 2024-03-20 15:19:27 2024-05-10 11:46:21 0000-00-00 00:00:00 2023 0 0 Str. 1-13 Št. 2, št. članka 80 Letn. 22 2023 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2022-12-22 2023-03-15 2023-04-06 515.128 150129923 10.1007/s12346-023-00777-0 1575-5460 Crepnjak-2023-Uncountable_Family_of_0-Rigid_Co.pdf Crepnjak-2023-Uncountable_Family_of_0-Rigid_Co.pdf 1 CD72E31FE3C2047128B018B5B6D93284 68c0732b55a568afc8a264259967d74977414c19235d96c52f39deb37ecfae00 a96846e9-e6c4-11ee-9087-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=177131 https://link.springer.com/article/10.1007/s12346-023-00777-0 0 b4446bb7-e6c4-11ee-9087-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=177132 Fakulteta za naravoslovje in matematiko Fakulteta za kemijo in kemijsko tehnologijo 0 0 0