Category bases.
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 Sequences in Quasi-Pseudo-Metric Spaces.
Characterization of Baire-one functions between topological spaces
Characterizing strong countable-dimensionality in terms of Baire category
Closed copies of the rationals
Compactifications and uniformities on sigma frames
A bijective correspondence between strong inclusions and compactifications in the setting of -frames is presented. The category of uniform -frames is defined and a description of the Samuel compactification is given. It is shown that the Samuel compactification of a uniform frame is completely determined by the -frame consisting of its uniform cozero part, and consequently, any compactification of any frame is so determined.
Compacts de fonctions mesurables et filtres non mesurables
Comparing sets of the Baire space by means of general recursive operators
Completion as reflection
Complétion d'un espace de recouvrement régulier
Completion functors for Cauchy spaces.
Concerning a certain -algebra in compact Hausdorff spaces
Concerning Sets of the First Baire Category with Respect to Different Metrics
We prove that if and δ are the Hausdorff metric and the radial metric on the space ⁿ of star bodies in ℝ, with 0 in the kernel and with radial function positive and continuous, then a family ⊂ ⁿ that is meager with respect to need not be meager with respect to δ. Further, we show that both the family of fractal star bodies and its complement are dense in ⁿ with respect to δ.
Configurations of points in sets of positive measure and in Baire sets of second category
Convergence of generic infinite products of affine operators.
Convergence results for a class of abstract continuous descent methods.
Criteria of openness for relations