ESTONIAN ACADEMY
PUBLISHERS
eesti teaduste
akadeemia kirjastus
PUBLISHED
SINCE 1952
 
Proceeding cover
proceedings
of the estonian academy of sciences
ISSN 1736-7530 (Electronic)
ISSN 1736-6046 (Print)
Impact Factor (2024): 0.7
Research article
An iterative formula for finding the number of different R0-topologies on a finite set; pp. 521–524
PDF | https://doi.org/10.3176/proc.2025.4.05

Author
Mart Abel ORCID Icon
Abstract

We present an iterative formula for calculating the number of different R0-topologies on a finite set.

References

1. Davis, A. S. Indexed systems of neighborhoods for general topological spaces. Am. Math. Mon., 1961, 68(9), 886–893.
https://doi.org/10.1080/00029890.1961.11989785

2. Rota, G.-C. The number of partitions of a set. Am. Math. Mon., 1964, 71(5), 498–504.
https://doi.org/10.1080/00029890.1964.11992270

3. Vainura, A.-M. On the number of topologies on finite sets. Bachelor’s thesis. Tallinn University, Estonia, 2024.

4. Bell number. Wikipedia. 
https://en.wikipedia.org/wiki/Bell_number

Back to Issue