Semihomeomorphisms (Q1821378)
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scientific article; zbMATH DE number 3998730
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semihomeomorphisms |
scientific article; zbMATH DE number 3998730 |
Statements
Semihomeomorphisms (English)
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1986
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\textit{S. Crossley} and \textit{S. Hildebrand} [Fundam. Math. 74, 233-254 (1972; Zbl 0227.54021) introduced semihomeomorphisms, irresolute functions, and presemiopen functions. The author discusses conditions on a function and on the domain and the range of the function for which every semihomeomorphism is a homeomorphism: (1) every irresolute, presemiopen function is continuous; (2) every irresolute, presemiopen function is open.
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