Zobrazeno 1 - 10
of 159
pro vyhledávání: '"MUCUK, Osman"'
Publikováno v:
Advanced Studies: Euro-Tbilisi Mathematical Journal 17(3), 1-24 (2024)
For any cssc-crossed module a category is constructed, equipped with a structure and proved that this is a coherent categorical group. Together with a result of the previous paper, where to any categorical group the cssc-crossed module is associated,
Externí odkaz:
http://arxiv.org/abs/2402.07286
Autor:
Mucuk, Osman, Çakallı, Hüseyin
It is well known that for a Hausdorff topological group $X$, the limits of convergent sequences in $X$ define a function denoted by $\lim$ from the set of all convergent sequences in $X$ to $X$. This notion has been modified by Connor and Grosse-Erdm
Externí odkaz:
http://arxiv.org/abs/2012.07561
Publikováno v:
Journal of Homotopy and Related Structures, 15 (3-4), 625-640 (2020)
We introduce a notion of c-group, which is a group up to congruence relation and consider the corresponding category. Extensions, actions and crossed modules (c-crossed modules) are defined in this category and the semi-direct product is constructed.
Externí odkaz:
http://arxiv.org/abs/2005.03601
Publikováno v:
Filomat, 34 (6) 1755-1769 (2020)
In this paper using split extensions of group-groupoids we obtain the notion of crossed modules over group-grouoids which are also called 2-groups and we prove a categorical equivalence of these types of crossed modules and double group-groupoids whi
Externí odkaz:
http://arxiv.org/abs/1802.03978
Autor:
Mucuk, Osman, Demir, Serap
In this paper, for given an algebraic theory $T$ whose category $C$ of models is semi-abelian, we consider the topological models of $T$ called topological $T$-algebras and obtain some results related to the fundamental groups of topological $T$-alge
Externí odkaz:
http://arxiv.org/abs/1801.08903
Autor:
Mucuk, Osman, Demir, Serap
In this paper we develop star topological and topological group-groupoid structures of monodromy groupoid and prove that the monodromy groupoid of a topological group-groupoid is also a topological group-groupoid.
Comment: 13 pages, research pap
Comment: 13 pages, research pap
Externí odkaz:
http://arxiv.org/abs/1801.08900
Autor:
Mucuk, Osman, Demir, Serap
We consider the categorical equivalence between crossed modules over groupoids and double groupoids with thin structures; and by this equivalence, we prove how normality and quotient concepts are related in these two categories and give some examples
Externí odkaz:
http://arxiv.org/abs/1801.08762
Publikováno v:
Georgian Mathematical Journal Volume 20, 223-238, (2013)
In this paper we prove some results on the covering morphisms of internal groupoids. We also give a result on the coverings of the crossed modules of groups with operations.
Comment: 16 pages, research paper, LaTeX2e, xypic. arXiv admin note: te
Comment: 16 pages, research paper, LaTeX2e, xypic. arXiv admin note: te
Externí odkaz:
http://arxiv.org/abs/1601.07734
Autor:
Mucuk, Osman, Şahan, Tunçar
Publikováno v:
Hacettepe Journal of Mathematics and Statistics, Volume 42 Issue 4, 419-430 (2013)
If $X$ is a topological group, then its fundamental groupoid $\pi_1X$ is a group-groupoid which is a group object in the category of groupoids. Further if $X$ is a path connected topological group which has a simply connected cover, then the category
Externí odkaz:
http://arxiv.org/abs/1601.07104
Autor:
Şahan, Tunçar, Mucuk, Osman
In this paper we define the notions of normal subcrossed module and quotient crossed module within groups with operations; and using the equivalence of crossed modules over groups with operations and internal groupoids we prove how normality and quot
Externí odkaz:
http://arxiv.org/abs/1601.07095