Finite mappings and the topology of their stable sets
Abstract: Given a mapping f from a finite set Xn on itself, we explore the finite topology τf defined by the stable subsets E of Xn; i.e., the subsets E of Xn which satisfy f (E) ⊆ E. Necessary and sufficient conditions are found in order that a finite topology τ may correspond to the topology τf for a certain mapping f. A number of results relating properties of topology τf with properties of the mapping f itself are also exposed.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Finite mappings and the topology of their stable sets ; volume:44 ; number:2 ; year:2011 ; pages:201-211 ; extent:11
Demonstratio mathematica ; 44, Heft 2 (2011), 201-211 (gesamt 11)
- Creator
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Berrone, Lucio R.
Dieulefait, Luis V.
- DOI
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10.1515/dema-2013-0301
- URN
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urn:nbn:de:101:1-2411171639079.305772283657
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
- 15.08.2025, 7:38 AM CEST
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Associated
- Berrone, Lucio R.
- Dieulefait, Luis V.
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