OpenAlex
The Number of Finite Topologies
Work
Year: 1970
Type: article
Abstract: The logarithm (base 2) of the number of distinct topologies on a set of $n$ elements is shown to be asymptotic to ${n^2}/4$ as $n$ goes to infinity.
Source: Proceedings of the American Mathematical Society
Authors D. Kleitman, B. Rothschild
Institutions Massachusetts Institute of Technology, University of California, Los Angeles
Cites: 3
Cited by: 17
Related to: 10
FWCI:
Citation percentile (by year/subfield): 67.79
Topic: Mathematical Dynamics and Fractals
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze