Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Topological construct"'
Autor:
Lowen, R.
Publikováno v:
Proceedings of the American Mathematical Society, 2005 May 01. 133(5), 1547-1556.
Externí odkaz:
https://www.jstor.org/stable/4097812
Autor:
Veerle Claes, G. Sonck
Publikováno v:
Applied General Topology, Vol 4, Iss 1, Pp 15-24 (2003)
In the list of convenience properties for topological constructs the property of being a quasitopos is one of the most interesting ones for investigations in function spaces, differential calculus, functional analysis, homotopy theory, etc. The topol
Externí odkaz:
https://doaj.org/article/c7da0cd2226c4fb4b7f4f48e7e0b503f
Autor:
Veerle Claes
Publikováno v:
Applied General Topology, Vol 9, Iss 1, Pp 21-32 (2008)
The topological construct SSET of affine sets over the two-point set S contains many interesting topological subconstructs such as TOP, the construct of topological spaces, and CL, the construct of closure spaces. For this category and its subconstru
Externí odkaz:
https://doaj.org/article/b032159298964e3f8632e763f915cea5
Autor:
Dieter Leseberg, Zohreh Vaziry
Publikováno v:
Mathematics for Applications. 2018 vol. 7, č. 2, s. 155-171. ISSN 1805-3629
In this paper a systematic study begins of the category b-UFIL of b- uniform filter spaces and b-uniformly continuous mappings. We will show that this construct forms a quasitopos in which quotients are stable under products. Consequently, it is extr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::622d44f6306379697954922a310c5f7b
https://hdl.handle.net/11012/137319
https://hdl.handle.net/11012/137319
Publikováno v:
Topology and its applications
The first two authors introduced the notion of metrically generated theories as a unifying framework for all possible theories which are determined by their metrizable objects (in a general sense, allowing pseudo- quasimetrics). This is notably the c
Autor:
Robert Lowen, Eva Colebunders
Publikováno v:
Topology and its applications
Bornologies axiomatize an abstract notion of bounded sets and are introduced as collections of subsets satisfying a number of consistency properties. Bornological spaces form a topological construct, the morphisms of which are those functions which p
Publikováno v:
Acta Mathematica Hungarica. 114:133-152
For metrically generated constructs X we give an internal characterization of the regular closure operator on X, determined by the subconstruct X 0, consisting of its T 0 objects. This allows us to describe the epimorphisms in X 0 and to show that al
Publikováno v:
Topology and its Applications. 153:3129-3139
The construct M of metered spaces and contractions is known to be a superconstruct in which all metrically generated constructs can be fully embedded. We show that M has one point extensions and that quotients in M are productive. We construct a Cart
Autor:
Gert Sonck, Veerle Claes
Publikováno v:
Applied General Topology, Vol 4, Iss 1, Pp 15-24 (2003)
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
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RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
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In the list of convenience properties for topological constructs the property of being a quasitopos is one of the most interesting ones for investigations in function spaces, differential calculus, functional analysis, homotopy theory, etc. The topol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38a86763540aad259bba60b21338b395
https://doi.org/10.4995/agt.2003.2006
https://doi.org/10.4995/agt.2003.2006
This paper deals with certain concrete functors between topological categories in the sense of H. Herrlich. In particular we consider those functors which are sections of forgetful functors between two such categories, and we represent them as compos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a880aa0e6ae6ee42d6835ef0fd725edd
https://biblio.vub.ac.be/vubir/concrete-functors-determined-by-their-restrictions-to-the-t0-objects(a51e6b54-6997-4ba8-9f3c-07bccc064861).html
https://biblio.vub.ac.be/vubir/concrete-functors-determined-by-their-restrictions-to-the-t0-objects(a51e6b54-6997-4ba8-9f3c-07bccc064861).html