Uncountable family of 0-rigid continua that are homeomorphic to their inverse limitsČrepnjak, Matevž (Avtor) Kac, Teja (Avtor) continuaCook continuarigid continuadegree of rigiditystars of continuainverse limitsIt 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.Springer Nature 20232024-03-20 15:07:19Članek v reviji87542UDK: 515.128COBISS_ID: 150129923DOI: 10.1007/s12346-023-00777-0ISSN pri članku: 1575-5460sl