ON INTERNAL CATEGORIES IN HIGHER DIMENSIONAL GROUPS
Yıl 2022,
Cilt: 5 Sayı: 2, 129 - 138, 31.07.2022
Ummahan Ege Arslan
,
Elis Soylu Yılmaz
Öz
In this paper, we demonstrated the equivalencies of internal categories
of cat-1 groups and cat-2 groups structures using some related equivalent
categories.
Kaynakça
- [1] M. Alp, Left adjoint of pullback cat1-groups, Turkish journal of Mathematics, Vol. 23, N. 2,
243-249 (1999).
- [2] J.-L. Loday, Spaces with finitely many nontrivial homotopy groups, Journal of Pure and
Applied Algebra , Vol. 24, 179-202 (1982).
- [3] T. Sahan and J. J. Mohammed, Categories Internal to Crossed Modules, Sakarya University
Journal of Science, Vol. 23, N. 4, 519-531 (2019).
- [4] J. J. Mohammed, On the internal categories within the category of crossed modules, M.Sc.
Thesis, Aksaray University, (2018).
- [5] T., Porter, Homotopy Quantum Field Theories meets the Crossed Menagerie: an introduction
to HQFTs and their relationship with things simplicial and with lots of crossed gadgetry,
Lecture Notes (2011).
- [6] E. Soylu Yılmaz and U. Ege Arslan, Internal Cat-1 and XMod, Journal of New Theory, Vol.
38, 79-87 (2022).
- [7] D. Guin-Walery and J.-L. Loday, Obstructions `a l’excision en K-th´eorie alg`ebrique, in Evanston
Conference on Algebraic K-theory, Lecture Notes in Maths., Springer, Vol. 854, 179 – 216 (1981).
- [8] J.H.C. Whitehead, Combinatorial Homotopy II, Bulletin American Mathematical Society, 55,
453-496 (1949).
Yıl 2022,
Cilt: 5 Sayı: 2, 129 - 138, 31.07.2022
Ummahan Ege Arslan
,
Elis Soylu Yılmaz
Kaynakça
- [1] M. Alp, Left adjoint of pullback cat1-groups, Turkish journal of Mathematics, Vol. 23, N. 2,
243-249 (1999).
- [2] J.-L. Loday, Spaces with finitely many nontrivial homotopy groups, Journal of Pure and
Applied Algebra , Vol. 24, 179-202 (1982).
- [3] T. Sahan and J. J. Mohammed, Categories Internal to Crossed Modules, Sakarya University
Journal of Science, Vol. 23, N. 4, 519-531 (2019).
- [4] J. J. Mohammed, On the internal categories within the category of crossed modules, M.Sc.
Thesis, Aksaray University, (2018).
- [5] T., Porter, Homotopy Quantum Field Theories meets the Crossed Menagerie: an introduction
to HQFTs and their relationship with things simplicial and with lots of crossed gadgetry,
Lecture Notes (2011).
- [6] E. Soylu Yılmaz and U. Ege Arslan, Internal Cat-1 and XMod, Journal of New Theory, Vol.
38, 79-87 (2022).
- [7] D. Guin-Walery and J.-L. Loday, Obstructions `a l’excision en K-th´eorie alg`ebrique, in Evanston
Conference on Algebraic K-theory, Lecture Notes in Maths., Springer, Vol. 854, 179 – 216 (1981).
- [8] J.H.C. Whitehead, Combinatorial Homotopy II, Bulletin American Mathematical Society, 55,
453-496 (1949).