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
Čech-Stone-like compactifications for general topological spaces
The problem whether every topological space has a compactification such that every continuous mapping from into a compact space has a continuous extension from into is answered in the negative. For some spaces such compactifications exist.
Čechův-Stoneův -obal
Cell-like maps, dimension and cohomological dimension: a survey
Cell-like resolutions of polyhedra by special ones
Suppose that P is a finite 2-polyhedron. We prove that there exists a PL surjective map f:Q → P from a fake surface Q with preimages of f either points or arcs or 2-disks. This yields a reduction of the Whitehead asphericity conjecture (which asserts that every subpolyhedron of an aspherical 2-polyhedron is also aspherical) to the case of fake surfaces. Moreover, if the set of points of P having a neighbourhood homeomorphic to the 2-disk is a disjoint union of open 2-disks, and every point of P...