Continua that are shape-equivalent but not \(UV^ 1\)-equivalent

DOI10.1016/0166-8641(88)90018-1zbMath0665.55005OpenAlexW2008379775MaRDI QIDQ1116115

Peter Mrozik

Publication date: 1988

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(88)90018-1

zbMATH Keywords

continuumshape equivalent\(UV^ 1\)-inequivalent\(UV^ k\)- connectedness\(UV^ k\)-components\(UV^ k\)-equivalentMetrizable spacespro- fundamental group

Mathematics Subject Classification ID

Shape theory in general topology (54C56) Shape theory (55P55)

Related Items (3)

Empty components in strong shape theory ⋮ CE equivalence and shape equivalence of LC\(^ n\) compacta ⋮ Images of cell-like spaces

Cites Work

• Homotopical approach to strong shape or completion theory
• CE equivalence and shape equivalence of 1-dimensional compacta
• A Stable Converse to the Vietoris-Smale Theorem with Applications to Shape Theory
• Shape Equivalence Does Not Imply Ce Equivalence
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