Completely regular proximities and RC-proximities
Completely regular spaces
We conduct an investigation of the relationships which exist between various generalizations of complete regularity in the setting of merotopic spaces, with particular attention to filter spaces such as Cauchy spaces and convergence spaces. Our primary contribution consists in the presentation of several counterexamples establishing the divergence of various such generalizations of complete regularity. We give examples of: (1) a contigual zero space which is not weakly regular and is not a Cauchy...
Completeness and Fixed-Points.
Completeness in Quasi-Uniform Spaces.
Completeness of sequential convergence groups
Completeness properties designed for recognizing Baire spaces [Book]
Completeness properties of function rings in pointfree topology
This note establishes that the familiar internal characterizations of the Tychonoff spaces whose rings of continuous real-valued functions are complete, or -complete, as lattice ordered rings already hold in the larger setting of pointfree topology. In addition, we prove the corresponding results for rings of integer-valued functions.
Completion and closure
Completion as reflection
Complétion d'un espace de recouvrement régulier
Complétion et compactification d'espaces syntopogènes
Completion functors for Cauchy spaces.
Completion of a Cauchy space without the -restriction on the space.
Completion of a class of topological semilattices, applications. (Complétion d'une classe de demi-treillis topologiques, applications.)
Completion of certain -structures
Completion of probabilistic normed spaces.
Completion of Quasi-Uniform Spaces.
Completion of sequential Cauchy spaces
Completion theorem for uniform entropy
Modifying Bowen's entropy, we introduce a new uniform entropy. We prove that the completion theorem for uniform entropy holds in the class of all metric spaces. However, the completion theorem for Bowen's entropy does not hold in the class of all totally bounded metric spaces.
Completions in biaffine sets.