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.
Cauchy Spaces. I. Structure and Uniformization Theorems.
Cauchy Spaces. II. Regular Completions and Compactifications.
Cauchy's equation on ?: futher results.
Causal structures in linear spaces.
C-closed functions
Čech analytic and almost -descriptive spaces
Čech cohomology and covering dimension for topological spaces
Čech complete nearness spaces
We study Čech complete and strongly Čech complete topological spaces, as well as extensions of topological spaces having these properties. Since these two types of completeness are defined by means of covering properties, it is quite natural that they should have a convenient formulation in the setting of nearness spaces and that in that setting these formulations should lead to new insights and results. Our objective here is to give an internal characterization of (and to study) those nearness...
Čech homology for movable compacta
Čech methods and the adjoint functor theorem
Čech-completeness and ultracompleteness in “nice spaces”
We prove that if is a union of subspaces of pointwise countable type then the space is of pointwise countable type. If is a countable union of ultracomplete spaces, the space is ultracomplete. We give, under CH, an example of a Čech-complete, countably compact and non-ultracomplete space, giving thus a partial answer to a question asked in [BY2].
Čech-Stone remainders of spaces that look like