منابع مشابه
On soft Hausdorff spaces
The aim of this paper is to study some properties of soft Hausdorff space introduced by Shabir and Naz. Firstly, we give a representation of soft sets and soft topological spaces. Secondly, we introduce some new concepts in soft topological space such as convergence of sequences, homeomorphism and investigate the relations between these concepts and Hausdorff axiom in soft topological space. 20...
متن کاملFunction spaces and Hausdorff dimension on fractals
We start by surveying a possible approach for function spaces of Besov type on special closed subsets of Rn. Afterwards we recall that, in the case of Sobolev spaces and Besov spaces on Rn, the Hausdorff dimension for the graphs of continuous functions belonging to such spaces has been studied by several authors, and that in the case of Besov spaces the final answer concerning the maximal possi...
متن کاملModal compact Hausdorff spaces
We introduce modal compact Hausdorff spaces as generalizations of modal spaces, and show these are coalgebras for the Vietoris functor on compact Hausdorff spaces. Modal compact regular frames and modal de Vries algebras are introduced as algebraic counterparts of modal compact Hausdorff spaces, and dualities are given for the categories involved. These extend the familiar Isbell and de Vries d...
متن کاملOn the Characterization of Hausdorff Spaces
In this paper A, B, X, Y denote sets. Let X be an empty set. Note that ⋃ X is empty. Next we state several propositions: (1) (δX) ◦A ⊆ [:A, A :]. (2) (δX) ([:A, A :]) ⊆ A. (3) For every subset A of X holds (δX) ([:A, A :]) = A. (4) dom〈π2(X×Y ), π1(X×Y )〉 = [:X, Y :] and rng〈π2(X×Y ), π1(X×Y )〉 = [:Y, X :]. (5) 〈π2(X × Y ), π1(X × Y )〉 ◦[:A, B :] ⊆ [:B, A :]. (6) For every subset A of X and for...
متن کاملOn Compact Hausdorff Spaces of Countable Tightness
A general combinatorial theorem for countably compact, noncompact spaces is given under the Proper Forcing Axiom. It follows that compact Hausdorff spaces of countable tightness are sequential under PFA, solving the Moore-Mrowka Problem. Other applications are also given.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1992
ISSN: 0166-8641
DOI: 10.1016/0166-8641(92)90106-a