Cartesian-closed coreflective subcategories of uniform spaces
Categorial aspects are useful for topology
Categorial aspects are useful in topology
Categorial methods in topology
Categorial refinements and their relation to reflective subcategories
Categorical aspects of the classical Ascoli theorems
Categorical properties of iterated power.
Categories of closure spaces and corresponding lattices
Categories of continuous function spaces
Categories of directed spaces
The main goal of the present paper is to unify two commonly used models of directed spaces: d-spaces and streams. To achieve this, we provide certain "goodness" conditions for d-spaces and streams. Then we prove that the categories of good d-spaces and good streams are isomorphic. Next, we prove that the category of good d-spaces is complete, cocomplete, and cartesian closed (assuming we restrict to compactly generated weak Hausdorff spaces). The category of good d-spaces is large enough to contain...
Categories of topological spaces with sufficiently many sequentially closed spaces
Categories of Wallman extendible functions
Category bases.
Category, Boolean algebras and measure
Category measures on Baire spaces.
The purpose of this paper is to give a necessary and sufficient condition to define a category measure on a Baire topological space. In the last section we give some examples of spaces in these conditions.
Category theorems concerning Z-density continuous functions
The ℑ-density topology on ℝ is a refinement of the natural topology. It is a category analogue of the density topology [9, 10]. This paper is concerned with ℑ-density continuous functions, i.e., the real functions that are continuous when the ℑ-densitytopology is used on the domain and the range. It is shown that the family of ordinary continuous functions f: [0,1]→ℝ which have at least one point of ℑ-density continuity is a first category subset of C([0,1])= f: [0,1]→ℝ: f is continuous equipped...
Cauchy completion in category theory
Cauchy nets and open colorings.
Cauchy sequences in -groups
Cauchy Sequences in Quasi-Pseudo-Metric Spaces.