Araştırma Makalesi
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ON INTERNAL CATEGORIES IN HIGHER DIMENSIONAL GROUPS

Yıl 2022, Cilt: 5 Sayı: 2, 129 - 138, 31.07.2022
https://doi.org/10.33773/jum.1115099

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
https://doi.org/10.33773/jum.1115099

Öz

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).
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Ummahan Ege Arslan 0000-0002-2995-0718

Elis Soylu Yılmaz 0000-0002-0869-310X

Yayımlanma Tarihi 31 Temmuz 2022
Gönderilme Tarihi 10 Mayıs 2022
Kabul Tarihi 29 Temmuz 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 5 Sayı: 2

Kaynak Göster

APA Ege Arslan, U., & Soylu Yılmaz, E. (2022). ON INTERNAL CATEGORIES IN HIGHER DIMENSIONAL GROUPS. Journal of Universal Mathematics, 5(2), 129-138. https://doi.org/10.33773/jum.1115099
AMA Ege Arslan U, Soylu Yılmaz E. ON INTERNAL CATEGORIES IN HIGHER DIMENSIONAL GROUPS. JUM. Temmuz 2022;5(2):129-138. doi:10.33773/jum.1115099
Chicago Ege Arslan, Ummahan, ve Elis Soylu Yılmaz. “ON INTERNAL CATEGORIES IN HIGHER DIMENSIONAL GROUPS”. Journal of Universal Mathematics 5, sy. 2 (Temmuz 2022): 129-38. https://doi.org/10.33773/jum.1115099.
EndNote Ege Arslan U, Soylu Yılmaz E (01 Temmuz 2022) ON INTERNAL CATEGORIES IN HIGHER DIMENSIONAL GROUPS. Journal of Universal Mathematics 5 2 129–138.
IEEE U. Ege Arslan ve E. Soylu Yılmaz, “ON INTERNAL CATEGORIES IN HIGHER DIMENSIONAL GROUPS”, JUM, c. 5, sy. 2, ss. 129–138, 2022, doi: 10.33773/jum.1115099.
ISNAD Ege Arslan, Ummahan - Soylu Yılmaz, Elis. “ON INTERNAL CATEGORIES IN HIGHER DIMENSIONAL GROUPS”. Journal of Universal Mathematics 5/2 (Temmuz 2022), 129-138. https://doi.org/10.33773/jum.1115099.
JAMA Ege Arslan U, Soylu Yılmaz E. ON INTERNAL CATEGORIES IN HIGHER DIMENSIONAL GROUPS. JUM. 2022;5:129–138.
MLA Ege Arslan, Ummahan ve Elis Soylu Yılmaz. “ON INTERNAL CATEGORIES IN HIGHER DIMENSIONAL GROUPS”. Journal of Universal Mathematics, c. 5, sy. 2, 2022, ss. 129-38, doi:10.33773/jum.1115099.
Vancouver Ege Arslan U, Soylu Yılmaz E. ON INTERNAL CATEGORIES IN HIGHER DIMENSIONAL GROUPS. JUM. 2022;5(2):129-38.