CE equivalence and shape equivalence of 1-dimensional compacta

DOI10.1016/0166-8641(87)90064-2zbMath0623.54006OpenAlexW2029151688MaRDI QIDQ1091629

Gerard A. Venema, Robert J. Daverman

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0166-8641(87)90064-2

zbMATH Keywords

CE equivalenceshape equivalencecell-like maps\(LC^{n-2}\) continuumlocal connectivitiylocally connected 1-dimensional compactalocally connected 1-dimensional continuumpath connected planar continuum

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Shape theory in general topology (54C56) Shapes (aspects of topological manifolds) (57N25) Higher-dimensional local connectedness (54F35)

Related Items (6)

Continua that are shape-equivalent but not \(UV^ 1\)-equivalent ⋮ CE equivalence and shape equivalence of LC\(^ n\) compacta ⋮ Cell-like images and UV\(^ m\) groups ⋮ \(UV^ n\)-equivalence and \(n\)-equivalence ⋮ Every classifiable simple C\(^*\)-algebra has a Cartan subalgebra ⋮ Images of cell-like spaces

Cites Work

• Unnamed Item
• Homotopy, simple homotopy and compacta
• Embeddings of Locally Connected Compacta
• Shape Equivalence Does Not Imply Ce Equivalence
• Concerning homotopy properties of compacta
• Realizing cell-like maps in Euclidean space
• Some applications of an approximation theorem for inverse limits

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