Ultrafilters and mappings (Q789764)
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scientific article; zbMATH DE number 3846432
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ultrafilters and mappings |
scientific article; zbMATH DE number 3846432 |
Statements
Ultrafilters and mappings (English)
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1983
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The following types of continuous functions between completely regular spaces are considered: closed, quasi-perfect, d-, \(d^*\)-, d'-, sd-, sd'-, nd-cp-, \(d_ 1\)-, \(d_ 2\)-, *-open, Z-, WZ-, \(W^*\)-open, N-, WN-, \(W_ rN\)-, hyper-real. For the most types, a characterization in terms of closed or open ultrafilters is given. There are also stated some possible relationships between those functions and various properties of generalized realcompact spaces.
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Čech-Stone extension
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characterization of maps by closed (open) ultrafilters
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closed maps
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quasi-perfect maps
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d-maps
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*-open maps
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Z- maps
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WZ-maps
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N-maps
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WN-maps
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generalized realcompact spaces
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