Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Homotopy extension property"'
Autor:
Karaca Ismet, Özkan Mustafa
Publikováno v:
Mathematica Moravica, Vol 27, Iss 1, Pp 1-12 (2023)
In this study, we introduce some well-known definitions and properties for multi-valued functions. We present new definitions such as, m-retraction, m-section, m-homeomorphism, m-HEP and reducible function. We give a new result on the relation betwee
Externí odkaz:
https://doaj.org/article/5e4911fedc9b4d63904a9626be1baa5c
Akademický článek
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Autor:
Obeng-Denteh, William, Adjei , David
Publikováno v:
Global Journal of Pure and Applied Sciences; Vol. 28 No. 1 (2022); 106-110
This paper seeks to demonstrate the relation between homology group and homotopy group. The result in this paper is a construction of the homology of a complex torus.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a269a6320057ce0bd263e2012bfa1285
https://doi.org/10.4314/gjpas.v28i1.13
https://doi.org/10.4314/gjpas.v28i1.13
Akademický článek
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Publikováno v:
Discrete & Computational Geometry. 67:112-165
Digital topology is part of the ongoing endeavour to understand and analyze digitized images. With a view to supporting this endeavour, many notions from algebraic topology have been introduced into the setting of digital topology. But some of the mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae8fff4c32eb1b18c052c7a130738d6a
https://doi.org/10.1007/s00454-021-00336-x
https://doi.org/10.1007/s00454-021-00336-x
Autor:
Miguel Ottina, Nicolás Cianci
We characterize the Hurewicz cofibrations between finite topological spaces, that is, the continuous functions between finite topological spaces that have the homotopy extension property with respect to all topological spaces. In particular, we show
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb385bf670dd461202c035c6d9d51f86
Autor:
Tadeusz Dobrowolski, Sergey Antonyan
Publikováno v:
Forum Mathematicum. 27:2157-2175
We prove that for any closed subgroup H of a locally compact Hausdorff group G the following properties are mutually equivalent: (1) the coset space G/H is locally contractible, (2) G/H is finite-dimensional and locally connected, (3) G/H is a manifo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f717fbb43515cdaf4a65a225492053a
https://doi.org/10.1515/forum-2013-0033
https://doi.org/10.1515/forum-2013-0033
Autor:
Adem Kilicman, Amin Saif
Publikováno v:
ISRN Geometry. 2012:1-9
The purpose of this paper is to extend the concept of homotopy extension property in homotopy theory for topological spaces to its analogical structure in homotopy theory for topological semigroups. In this extension, we also give some results concer
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66dfd5def99579929f6edf2b9be4d4fe
https://doi.org/10.5402/2012/359403
https://doi.org/10.5402/2012/359403
Autor:
Beatrice Bleile, Hans-Joachim Baues
Publikováno v:
Topology and its Applications
We compute the monoid of essential self-maps of of the product of two n-spheres fixing the diagonal. More generally, we consider products S x S, where S is a suspension. Essential self-maps of S x S demonstrate the interplay between the pinching acti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::116e4980dd53002d0569199ad62c21ed
https://doi.org/10.1016/j.topol.2011.06.058
https://doi.org/10.1016/j.topol.2011.06.058
Autor:
Kenji Ohmori, Tosiyasu L. Kunii
Publikováno v:
The Visual Computer. 26:297-309
For designing and modeling complicated and sophisticated systems such as cyberworlds, their mathematical foundation is critical. To realize it, two important properties called the homotopy lifting property (HLP) and homotopy extension property (HEP)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a3fb879ab7fca35baca7e55ca84e4eb
https://doi.org/10.1007/s00371-010-0420-7
https://doi.org/10.1007/s00371-010-0420-7