Can I read Cardinality of Finite Topologies on EtoBox?
Cardinality of Finite Topologies by Henry Sharp Jr. is a Computer Science article available to read on EtoBox.
What is Cardinality of Finite Topologies about?
Let S denote a finite set of cardinal n. The discrete topology on S contains 2 ~ open sets; the indiscrete topology contains 2 open sets. A partial answer is given to the question: For which intermediate integers m is there a topology on S with cardinal m ? It is shown that no topology, other than the discrete, has cardinal greater than ~ 2 ~. Other bounds are derived on the cardinality of connected, non-T0, connected and non-T0, and non-connected topologies. Proofs involve results in the theory of transitive digraphs.
Who reads Cardinality of Finite Topologies?
It is typically read by researchers, students, and practitioners in Computer Science.
- Author
- Henry Sharp Jr.
- Publisher
- Elsevier ; Academic Press; Elsevier BV (ISSN 0021-9800)
- Published
- 1968
- Language
- EN
- Field
- Computer Science (Physical Sciences)