Category bases.
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Category measures on Baire spaces.
José María Ayerbe Toledano (1990)
Publicacions Matemàtiques
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
K. Ciesielski, L. Larson (1991)
Fundamenta Mathematicae
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
Francis Borceux, Dominique Dejean (1986)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Cauchy Sequences in Quasi-Pseudo-Metric Spaces.
I.L. Reilly, P.V. Subrahmanyam (1982)
Monatshefte für Mathematik
Characterization of Baire-one functions between topological spaces
Libor Veselý (1992)
Acta Universitatis Carolinae. Mathematica et Physica
Characterizing strong countable-dimensionality in terms of Baire category
Elżbieta Pol (1988)
Fundamenta Mathematicae
Closed copies of the rationals
Eric K. Douwen (1987)
Commentationes Mathematicae Universitatis Carolinae
Compactifications and uniformities on sigma frames
Joanne L. Walters-Wayland (1991)
Commentationes Mathematicae Universitatis Carolinae
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
Michel Talagrand (1980)
Studia Mathematica
Comparing sets of the Baire space by means of general recursive operators
Andrea Sorbi (1991)
Fundamenta Mathematicae
Completion as reflection
H. L. Bentley, Horst Herrlich (1978)
Commentationes Mathematicae Universitatis Carolinae
Complétion d'un espace de recouvrement régulier
Bernard Brunet (1986)
Annales scientifiques de l'Université de Clermont. Mathématiques
Completion functors for Cauchy spaces.
Fric, R., Kent, Darrell C. (1979)
International Journal of Mathematics and Mathematical Sciences
Concerning a certain -algebra in compact Hausdorff spaces
Charles Stegall (1993)
Acta Universitatis Carolinae. Mathematica et Physica
Concerning Sets of the First Baire Category with Respect to Different Metrics
Maria Moszyńska, Grzegorz Sójka (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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
François Destrempes, Ambar Sengupta (1989)
Fundamenta Mathematicae
Convergence of generic infinite products of affine operators.
Reich, Simeon, Zaslavski, Alexander J. (1999)
Abstract and Applied Analysis
Convergence results for a class of abstract continuous descent methods.
Aizicovici, Sergiu, Reich, Simeon, Zaslavski, Alexander J. (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Criteria of openness for relations
Marek Wilhelm (1981)
Fundamenta Mathematicae
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