An observation for simple expansions.
An up-spectral space need not be -spectral.
Another Generalization of Arhangel'skii's Theorem
MSC 2010: 54A25, 54A35.
Aposyndesis in
We consider the Golomb and the Kirch topologies in the set of natural numbers. Among other results, we show that while with the Kirch topology every arithmetic progression is aposyndetic, in the Golomb topology only for those arithmetic progressions with the property that every prime number that divides also divides , it follows that being connected, being Brown, being totally Brown, and being aposyndetic are all equivalent. This characterizes the arithmetic progressions which are aposyndetic...
Application of covering sets
Application on local discrete expansion.
Applications of maximal μ-open sets in generalized topology and quasi topology
In this paper, some fundamental properties of maximal μ-open sets such as decomposition theorem for a maximal μ-open set, are given in a generalized topological space. Some basic properties of intersection of maximal μ-open sets are established, cohere the law of μ-radical μ-closure in a quasi topological space is obtained, among the other things.
Applications of some strong set-theoretic axioms to locally compact T₅ and hereditarily scwH spaces
Under some very strong set-theoretic hypotheses, hereditarily normal spaces (also referred to as T₅ spaces) that are locally compact and hereditarily collectionwise Hausdorff can have a highly simplified structure. This paper gives a structure theorem (Theorem 1) that applies to all such ω₁-compact spaces and another (Theorem 4) to all such spaces of Lindelöf number ≤ ℵ₁. It also introduces an axiom (Axiom F) on crowding of functions, with consequences (Theorem 3) for the crowding of countably compact...
Approach merotopological spaces and their completion.
Approximate quantities, hyperspaces and metric completeness
Mostriamo che se è uno spazio metrico completo, allora è completa anche la metrica , indotta in modo naturale da sul sottospazio degli insiemi sfocati («fuzzy») di dati dalle quantità approssimate. Come è ben noto, è una metrica molto interessante nella teoria dei punti fissi di applicazioni sfocate, poiché permette di ottenere risultati soddisfacenti in questo contesto.
Approximation of with countable subsets of and calibers of the space
Approximative limit and related notions
Some notions of limit weaker than the topological one are studied.
Are initially -compact separable regular spaces compact?
We investigate the question of the title. While it is immediate that CH yields a positive answer we discover that the situation under the negation of CH holds some surprises.
Are most measurable functions one-to-one?
Arithmetic Properties of certain partially ordered Semigeroups.
Arrows in the “finite product theorem for certain epireflections'” of R. Frič and D. C. Kent
Assertion Q distinguishes topologically ω* and when regular and
Atoms and proximal fineness
Atoms in uniformities
Atomy ve svazu uniformit