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Shape invariance of N-compactifications

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Morón, Manuel A. and Romero Ruiz del Portal, Francisco and Rodríguez Sanjurjo, José Manuel (1994) Shape invariance of N-compactifications. Topology and its Applications, 56 (1). pp. 63-71. ISSN 0166-8641

Official URL: http://www.sciencedirect.com/science/article/pii/0166864194901090


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Abstract

We use N-compactifications of 0-dimensional spaces to obtain a new shape invariant for the class of all topological spaces. We also point out that the shape and topological classifications are not the same in the realm of Tychonov spaces having a base of clopen sets. Finally we use the new shape invariant to obtain classes of spaces where the conditions ''to have the same shape'' and ''to be homeomorphic'' are equivalent.


Item Type:Article
Uncontrolled Keywords:Shape; N-compactness; N-compactification; quasicomponent; 0-dimensional space
Subjects:Sciences > Mathematics > Topology
ID Code:15633
Deposited On:14 Jun 2012 08:53
Last Modified:12 Dec 2018 15:13

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