An neutrosophic topological space (X, T) is called a neutrosophic Hausdorff space
As it is a quotient, even when we start with a partial action on a Hausdorff space
, in general we end up with a non Hausdorff one.
Aldrich (2014) offers an example in topology with the statement: "A compact Hausdorff space
A New Form of Fuzzy Hausdorff Space
and Related Topics via Fuzzy Idealization, IOSR Journal of Mathematics (IOSR-JM), Volume 3, Issue 5 (Sep.
In this paper, I present the definition of soft bitopological Hausdorff space
and construct some basic properties.
The PN space under the strong topology is a Hausdorff space
and satisfies the first countability axiom.
This will lead to a characterization of semi-strongly continuous functions f: X [right arrow] Y where Y is a first countable Hausdorff space
It is shown that the space M(A) in the Gelfand topology is a compact Hausdorff space
for every unital TQ-algebras with a nonempty set M(A), and a commutative complete metrizable unital algebra is a TQ-algebras if and only if all maximal topological ideals of A are closed.
In the classical formulation of Size Theory, M is required to be a non-empty, compact and locally connected Hausdorff space
, and [?
Recall that a Hausdorff space
is said to be regular if for each closed subset F of X, p [member of] X\F, there exist disjoint open sets U, V such that p [member of] U, F [subset] V.
Let B be a compact topological Hausdorff space
and X := C(B) the normed vector space of all real valued, continuous functions defined on B with norm || f || := [max.
That is, if [OMEGA] is a compact Hausdorff space
and E is a real Banach space, suppose that [V.