Proper shape invariants: Tameness and movability
We study geometric properties of topological spaces called proper NCℬ-tameness, proper PCℬ-tameness, and proper Nℬ-movability, where ℬ and C denote classes of spaces. They are related to proper MCℬ-tameness and proper Mℬ-movability from [5] and could be regarded as their dual forms. All three are in...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171296000403 |
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| Summary: | We study geometric properties of topological spaces called proper NCℬ-tameness,
proper PCℬ-tameness, and proper Nℬ-movability, where ℬ and C denote classes of spaces. They
are related to proper MCℬ-tameness and proper Mℬ-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. |
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| ISSN: | 0161-1712 1687-0425 |