On the Cardinality of the T0-Topologies on a Finite Set
Author
Source
International Journal of Combinatorics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-31
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Let T0(n,k) be the number of all labeled T0-topologies having k open sets that we can define on n points, and let t0(n,k) be the number of those which are nonhomeomorphic.
In this paper, we compute these numbers for k≥5·2n-4 and arbitrary n≥4.
The numbers tn0(n,k) of all unlabeled and non-T0-topologies with k open sets are also given for k≥2n-2.
American Psychological Association (APA)
Kolli, Messaoud. 2014. On the Cardinality of the T0-Topologies on a Finite Set. International Journal of Combinatorics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-498983
Modern Language Association (MLA)
Kolli, Messaoud. On the Cardinality of the T0-Topologies on a Finite Set. International Journal of Combinatorics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-498983
American Medical Association (AMA)
Kolli, Messaoud. On the Cardinality of the T0-Topologies on a Finite Set. International Journal of Combinatorics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-498983
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498983
