A note on weakly -continuous functions.
A note on weakly -closed functions
In this paper we introduce a new class of functions called weakly -closed functions with the help of generalized topology which was introduced by Á. Császár. Several characterizations and some basic properties of such functions are obtained. The connections between these functions and some other similar types of functions are given. Finally some comparisons between different weakly closed functions are discussed. This weakly -closed functions enable us to facilitate the formulation of certain...
A note on -generalized closed sets.
A Note Related to a Paper of Noiri
A partition of R in two homogeneous and homeomorphic parts
A quest for nice kernels of neighbourhood assignments
Given a topological property (or a class) , the class dual to (with respect to neighbourhood assignments) consists of spaces such that for any neighbourhood assignment there is with and . The spaces from are called dually . We continue the study of this duality which constitutes a development of an idea of E. van Douwen used to define -spaces. We prove a number of results on duals of some general classes of spaces establishing, in particular, that any generalized ordered space...
A simplicial monotone-light factorization theorem
A spectral characterization of skeletal maps
We prove that a map between two realcompact spaces is skeletal if and only if it is homeomorphic to the limit map of a skeletal morphism between ω-spectra with surjective limit projections.
A subclass of the class MOBI
A theory of absolute proper retracts
A topological version of a combinatorial theorem of Katětov
A Unified Theory of Perfect and Related Functions
A unified theory of weak separation properties.
Absolute end points and their mapping properties.
Absolutely strongly star-Hurewicz spaces
A space X is absolutely strongly star-Hurewicz if for each sequence (Un :n ∈ℕ/ of open covers of X and each dense subset D of X, there exists a sequence (Fn :n ∈ℕ/ of finite subsets of D such that for each x ∈X, x ∈St(Fn; Un) for all but finitely many n. In this paper, we investigate the relationships between absolutely strongly star-Hurewicz spaces and related spaces, and also study topological properties of absolutely strongly star-Hurewicz spaces.
Absolutely terminal continua and confluent mappings
Interrelations between three concepts of terminal continua and their behaviour, when the underlying continuum is confluently mapped, are studied.
Acyclic Maps and Knot Complements.
Alcuni risultati su proprietà di ricoprimento e sulla spezzabilità
Algebraic characterization of finite (branched) coverings
Every continuous map X → S defines, by composition, a homomorphism between the corresponding algebras of real-valued continuous functions C(S) → C(X). This paper deals with algebraic properties of the homomorphism C(S) → C(X) in relation to topological properties of the map X → S. The main result of the paper states that a continuous map X → S between topological manifolds is a finite (branched) covering, i.e., an open and closed map whose fibres are finite, if and only if the induced homomorphism...
Algebras of functions on mappings.