A STUDY ON FUZZY LOCALLY δ- CLOSED SETS
... - -locally continuous functions were introduced by B.Amudhambigai, M.K. Uma, and E. Roja [1]. In this paper, the interrelations of fuzzy locally -regular closed sets and fuzzy locally -closed sets are studied with suitable counter examples. Also, the interrelations of fuzzy locally -regular continuo ...
... - -locally continuous functions were introduced by B.Amudhambigai, M.K. Uma, and E. Roja [1]. In this paper, the interrelations of fuzzy locally -regular closed sets and fuzzy locally -closed sets are studied with suitable counter examples. Also, the interrelations of fuzzy locally -regular continuo ...
Approximation on Nash sets with monomial singularities
... The ring N(X) has been revealed crucial to develop a satisfactory theory of irreducibility and irreducible components for the semialgebraic setting [10]; as one can expect such theory extends Nash irreducibility and can be based as well on the ring of analytic functions on the semialgebraic set. Onc ...
... The ring N(X) has been revealed crucial to develop a satisfactory theory of irreducibility and irreducible components for the semialgebraic setting [10]; as one can expect such theory extends Nash irreducibility and can be based as well on the ring of analytic functions on the semialgebraic set. Onc ...
NON-HAUSDORFF GROUPOIDS, PROPER ACTIONS AND K
... c : G(0) → R+ is a “cutoff” function (Section 6). Contrary to the Hausdorff case, the function c is not continuous, but it is the restriction to G(0) of a continuous map X 0 → R+ (see above for the definition of X 0 ). The Hilbert module E(G) is one of the ingredients in the definition of the assemb ...
... c : G(0) → R+ is a “cutoff” function (Section 6). Contrary to the Hausdorff case, the function c is not continuous, but it is the restriction to G(0) of a continuous map X 0 → R+ (see above for the definition of X 0 ). The Hilbert module E(G) is one of the ingredients in the definition of the assemb ...
More Functions Associated with Semi-Star-Open Sets
... Proof: Let V be an open set in Z. Since h is contra-semi*-continuous, h-1(V) is semi*-closed in Y. Since f is semi*-irresolute, by invoking Theorem 3.13, (h∘f )-1(V)=f -1(h-1(V)) is semi*-closed in X. Hence h∘f is contra-semi*-continuous. Theorem 3.24: Let f :X⟶Y be semi*-irresolute and h:Y⟶Z be con ...
... Proof: Let V be an open set in Z. Since h is contra-semi*-continuous, h-1(V) is semi*-closed in Y. Since f is semi*-irresolute, by invoking Theorem 3.13, (h∘f )-1(V)=f -1(h-1(V)) is semi*-closed in X. Hence h∘f is contra-semi*-continuous. Theorem 3.24: Let f :X⟶Y be semi*-irresolute and h:Y⟶Z be con ...