Previous |  Up |  Next

Article

Title: On extension of functors (English)
Author: Karchevska, L.
Author: Radul, T.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 53
Issue: 2
Year: 2012
Pages: 269-279
Summary lang: English
.
Category: math
.
Summary: A. Chigogidze defined for each normal functor on the category Comp an extension which is a normal functor on the category Tych. We consider this extension for any functor on the category Comp and investigate which properties it preserves from the definition of normal functor. We investigate as well some topological properties of such extension. (English)
Keyword: Chigogidze extension of functors
Keyword: 1-preimage preserving property
MSC: 18B30
MSC: 54B30
MSC: 57N20
idZBL: Zbl 1265.18010
idMR: MR3017259
.
Date available: 2012-08-08T09:03:38Z
Last updated: 2014-07-07
Stable URL: http://hdl.handle.net/10338.dmlcz/142889
.
Reference: [1] Banakh T.: Descriptive classes of sets and topological functors.Ukrain. Mat. Zh. 47 (1995), 408–410. Zbl 0887.46041, MR 1353221, 10.1007/BF01056310
Reference: [2] Banakh T., Cauty R.: Topological classification of spaces of probability measures over coanalytic sets.Mat. Zametki 55 (1994), 10–19 (Russian). MR 1275298
Reference: [3] Banakh T., Klymenko M., Kucharski A.: On functors preserving skeletal maps and skeletally generated compacta.in preparation.
Reference: [4] Banakh T., Radul T., Zarichnyi M.: Absorbing Sets in Infinite-dimensional Manifolds.VNTL Publishers, Lviv, 1996. Zbl 1147.54322, MR 1719109
Reference: [5] Camargo J.: The functor of nonexpanding functionals.Rev. Integr. Temas Mat. 20 (2002), 1–12 (Spanish). MR 2253170
Reference: [6] Chigogidze A.: On extension of normal functors.Vestnik Moskov. Univ. Mat. Mekh. 6, (1984), 23–26 (Russian). MR 0775298
Reference: [7] Curtis D.W., Dobrowolski T., Mogilski J.: Some applications of the topological characterizations of the sigma-compact spaces $l_2^f$ and $\Sigma $.Trans. Amer. Math. Soc. 284 (1984), 837–846. MR 0743748
Reference: [8] Dobrowolski T.: The compact Z-property in convex sets.Topology Appl. 23 (1986), 163–172. MR 0855456, 10.1016/0166-8641(86)90038-6
Reference: [9] Fedorchuk V., Zarichnyi M.: Covariant functors in categories of topological spaces.Results of Science and Technics, Algebra. Topology. Geometry, vol. 28, 47–95 (Russian), Moscow, 1990. MR 1059477
Reference: [10] Radul T.: On the functor of order-preserving functionals.Comment. Math. Univ. Carolin. 39 (1998), 609–615. Zbl 0962.54009, MR 1666806
Reference: [11] Radul T.: On strongly Lawson and I-Lawson monads.Bol. Mat. (N.S.) 6 (1999), 69–75. Zbl 1203.18008, MR 1859108
Reference: [12] Radul T.: On functional representations of Lawson monads.Appl. Categ. Structures 9 (2001), 457–463. MR 1865611, 10.1023/A:1012052928198
Reference: [13] Teleiko A., Zarichnyi M.: Categorical Topology of Compact Hausdorff Spaces.VNTL Publishers, Lviv, 1999. Zbl 1032.54004, MR 1783651
Reference: [14] Shapiro L.: On operators of extension of functions and normal functors.Vestnik Moskov. Univ. 1 (1992), 35–42 (Russian). MR 1214589
Reference: [15] Schepin E.: Functors and uncountable powers of compacta.Uspekhi Mat. Nauk 36 (1981), 3–62 (Russian). MR 0622720
.

Files

Files Size Format View
CommentatMathUnivCarolRetro_53-2012-2_8.pdf 556.1Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo