ON θ-CLOSED SETS AND SOME FORMS OF CONTINUITY
... the collection of all δ-open sets in a topological space (X, Γ) forms a topology Γ s on X, called the semiregularization topology of Γ, weaker than Γ and the class of all regular open sets in Γ forms an open basis for Γs . Similarly, the collection of all θ-open sets in a topological space (X, Γ) fo ...
... the collection of all δ-open sets in a topological space (X, Γ) forms a topology Γ s on X, called the semiregularization topology of Γ, weaker than Γ and the class of all regular open sets in Γ forms an open basis for Γs . Similarly, the collection of all θ-open sets in a topological space (X, Γ) fo ...
Topology Proceedings - Topology Research Group
... pseudo-sequence-covering compact mappings equivalent to sequentially-quotient compact mappings? This question is still open, which arouses our interest in the relations between pseudo-sequencecovering compact images and sequentially-quotient compact images for these metric domains. In [16], P. Yan p ...
... pseudo-sequence-covering compact mappings equivalent to sequentially-quotient compact mappings? This question is still open, which arouses our interest in the relations between pseudo-sequencecovering compact images and sequentially-quotient compact images for these metric domains. In [16], P. Yan p ...
General Topology II - National Open University of Nigeria
... is a basis for the subspace topology in Y. Proof. Let U be an open set of X and y U Y, By definition of basis, there exists B B such that y B U. Then y B Y U Y. It follows from proposition 3.2 that BY is a basis for the subspace topology on Y. When dealing with a space X and a subspace Y of X, you n ...
... is a basis for the subspace topology in Y. Proof. Let U be an open set of X and y U Y, By definition of basis, there exists B B such that y B U. Then y B Y U Y. It follows from proposition 3.2 that BY is a basis for the subspace topology on Y. When dealing with a space X and a subspace Y of X, you n ...
On feebly compact shift-continuous topologies on the semilattice
... Proof. Suppose to the contrary that there exists a quasiregular d-feebly compact space X which is not feebly compact. Then there exists an infinite locally finite family U0 of non-empty open subsets of X. By induction we shall construct an infinite discrete family of non-empty open subsets of X. Fix ...
... Proof. Suppose to the contrary that there exists a quasiregular d-feebly compact space X which is not feebly compact. Then there exists an infinite locally finite family U0 of non-empty open subsets of X. By induction we shall construct an infinite discrete family of non-empty open subsets of X. Fix ...