IJPAM: Volume 118, No. 1 (2018)
Department of Engineering Sciences
Ramrao Adik Institute of Technology
Nerul, Navi Mumbai-400706, INDIA
1]. The bound for number of topologies on finite sets is determined by many people [2,3]. We have also obtained the sharper bounds for the number of topologies on the set with n elements.
Published: February 15, 2018
AMS Subject Classification: 40A15, 54A99
Key Words and Phrases: topology, repeated ratio, lower bound, upper bound, sequence
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- N.J.A. Sloane, Online Encyclopedia of Integer Sequences, at http://oeis.org/A000798/list
- G.H. Patil and M.S. Chaudhary, A recursive determination of topologies on finite sets, Indian Journal of Pure and Applied Mathematics, 26, No. 2 (1995), 143-148.
- V. Kishnamurthy, On the number of topologies on a finite set, The American Mathematical Monthly, 73, No. 2 (1966), 154-157.
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 39 - 48