On the number of topologies on a finite set
We denote the number of distinct topologies which can be defined on a set X with n elements by T(n). Similarly, T0(n) denotes the number of distinct T₀ topologies on the set X. In the present paper, we prove that for any prime p, T(pᵏ) ≡ k + 1 (mod p), and that for each natural number n there exists...
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2019 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2019
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188421 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the number of topologies on a finite set / M.Y. Kizmaz // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 50–57. — Бібліогр.: 8 назв. — англ. |