Comparing sets of the Baire space by means of general recursive operators
Complements in the lattice of uniformities
Complements of solenoids in are m-spaces
Complete function spaces.
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 properties designed for recognizing Baire spaces [Book]
Completion as reflection
Complétion d'un espace de recouvrement régulier
Completion functors for Cauchy spaces.
Completion of probabilistic normed spaces.
Completion of Quasi-Uniform Spaces.
Completions of Uniform Convergence Spaces.
Component restriction property for classes of mappings.
Compositions of simple maps
A map (= continuous function) is of order ≤ k if each of its point-inverses has at most k elements. Following [4], maps of order ≤ 2 are called simple. Which maps are compositions of simple closed [open, clopen] maps? How many simple maps are really needed to represent a given map? It is proved herein that every closed map of order ≤ k defined on an n-dimensional metric space is a composition of (n+1)k-1 simple closed maps (with metric domains). This theorem fails to be true...
Computing complexity distances between algorithms
We introduce a new (extended) quasi-metric on the so-called dual p-complexity space, which is suitable to give a quantitative measure of the improvement in complexity obtained when a complexity function is replaced by a more efficient complexity function on all inputs, and show that this distance function has the advantage of possessing rich topological and quasi-metric properties. In particular, its induced topology is Hausdorff and completely regular. Our approach is applied to the measurement...
Concerning a certain -algebra in compact Hausdorff spaces
Concerning a non-realizability of connected compact semi-separated closure operations by set-systems