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Group of L-homeomorphisms and L
f
-representability of Permutation Groups
Published in Fuzzy Information and Engineering, 2020
Sini P
Let be an -topology on such that . The result is obvious if . We assume that . Now for any , let defined by
By using well-ordering Theorem, well-order the set with the order relation `'. Now for , define as
Let and Using and we define on as . It is easy to see that is an -topology on . Now we prove that .