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Point Finite Collection
CHF 43.20
Auf Lager
SKU
48VOU68T508
1 Verfügbar 
Geliefert zwischen Mi., 26.11.2025 und Do., 27.11.2025
Details
High Quality Content by WIKIPEDIA articles! In mathematics, in the field of general topology, a topological space is said to be metacompact if every open cover has a point finite open refinement. That is, given any open cover of the topological space, there is a refinement which is again an open cover with the property that every point is contained only in finitely many sets of the refining cover. A topological space, X, is said to be locally finite if every collection of subsets of it is locally finite. Since every locally finite collection is point finite, every collection of subsets of X must be point-finite. In particular, this means that the power set of this space must be finite (if it were infinite, the collection of all subsets of the space wouldn't be locally finite since some point would belong to infinitely many subsets of this space). This means that the space is finite. Hence a topological space is locally finite if and only if it is finite.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130331894
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Sprache Englisch
- Größe H220mm x B150mm x T5mm
- Jahr 2010
- EAN 9786130331894
- Format Kartonierter Einband
- ISBN 978-613-0-33189-4
- Titel Point Finite Collection
- Untertitel Topological Space, Locally Finite Collection, Metacompact Space, Conjecture, Rigour, Deductive Reasoning, Axiom
- Gewicht 130g
- Herausgeber Betascript Publishers
- Anzahl Seiten 76
- Genre Mathematik
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