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Dergiler / Journal of Universal Mathematics / 2022 / Cilt: 5 - Sayı: 2

ON INTERNAL CATEGORIES IN HIGHER DIMENSIONAL GROUPS

Ummahan EGE ARSLAN
Elis SOYLU YILMAZ
Sayfa
129–138
Yayın Tarihi
2022-07-31
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we demonstrated the equivalencies of internal categories of cat-1 groups and cat-2 groups structures using some related equivalent categories.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we demonstrated the equivalencies of internal categories of cat-1 groups and cat-2 groups structures using some related equivalent categories.
📊
Temel Bulgular & Veri:In this paper, we demonstrated the equivalencies of internal categories of cat-1 groups and cat-2 groups structures using some related equivalent categories.
💡
Sonuç & Katkı:In this paper, we demonstrated the equivalencies of internal categories of cat-1 groups and cat-2 groups structures using some related equivalent categories.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Cat1-group · Internal category · Crossed Module

Abstract

In this paper, we demonstrated the equivalencies of internal categories of cat-1 groups and cat-2 groups structures using some related equivalent categories.

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Bu Makaleye Atıf Yap

ARSLAN, U. E., YILMAZ, E. S. (2022). ON INTERNAL CATEGORIES IN HIGHER DIMENSIONAL GROUPS. Journal of Universal Mathematics, Cilt: 5 - Sayı: 2, 129–138. https://ajindex.com/articles/782158

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Kaynakça (8)

  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).