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Proper shape invariants: Tameness and movability

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  • Zvonko Čerin

Abstract

We study geometric properties of topological spaces called proper N C ℬ -tameness, proper P C ℬ -tameness, and proper N ℬ -movability, where ℬ and C denote classes of spaces. They are related to proper M C ℬ -tameness and proper M ℬ -movability from [5] and could be regarded as their dual forms. All three are invariants of a recently invented author's proper shape theory and are described by the use of proper multi-valued functions. We explore their basic properties and prove several results on their preservation under proper maps.

Suggested Citation

  • Zvonko Čerin, 1996. "Proper shape invariants: Tameness and movability," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 19, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:402789
    DOI: 10.1155/S0161171296000403
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