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CHANGE BASE FOR CROSSED COMPLEXES OVER GROUPOIDS

Year 2010, Issue: 023, 23 - 32, 15.12.2010

Rahime Çelik Özgün Gürmen

Abstract

In this work, we give the notion of a pullback crossed complex of
groupoids.

Keywords

Crossed Complex Crossed Module Pullback Gruopoid

References

  • [1] Brown, R. and Gılbert, N. D., Algebraic Models of 3-Types and types and automorphism structures for Crossed Modules, Proc. London Math. Soc.(3) 59, 51-73, (1989).
  • [2] Brown R., Higgins P.J.: Tensor Products and Homotopies for w-Groupoids and Crossed Complexes, J. Pure Appl. Algebra 47 (1987), no. 1, 1–33.
  • [3] Brown R.: Crossed complexes and homotopy groupoids as non commutative tools for higher dimensional local-to-global problems. Galois theory, Hopf algebras, and semiabelian categories, 101–130, Fields Inst. Commun., 43, Amer. Math. Soc., Providence, RI, (2004).
  • [4] Brown R. and Sivera R., `Algebraic colimit calculations in homotopy theory using fibred and cofibred categories', Theory and Applications of Categories, 22, 222-251,(2009)
  • [5] Tonks, A. P., Theory and applications of crossed complexes, PhD thesis, University of Wales, (1993)

GRUPOİDLER ÜZERİNDE ÇAPRAZLANMIŞ KOMPLEKSLERİN TABAN DEĞİŞTİRMESİ

Year 2010, Issue: 023, 23 - 32, 15.12.2010

Rahime Çelik Özgün Gürmen

Abstract

Bu çalışmada, grupoidler üzerinde çaprazlanmış komplekslerin
geri çekme yapısı incelenmiştir.

Keywords

Çaprazlanmış Kompleks Çaprazlanmış Modül Pullback Grupoid

References

  • [1] Brown, R. and Gılbert, N. D., Algebraic Models of 3-Types and types and automorphism structures for Crossed Modules, Proc. London Math. Soc.(3) 59, 51-73, (1989).
  • [2] Brown R., Higgins P.J.: Tensor Products and Homotopies for w-Groupoids and Crossed Complexes, J. Pure Appl. Algebra 47 (1987), no. 1, 1–33.
  • [3] Brown R.: Crossed complexes and homotopy groupoids as non commutative tools for higher dimensional local-to-global problems. Galois theory, Hopf algebras, and semiabelian categories, 101–130, Fields Inst. Commun., 43, Amer. Math. Soc., Providence, RI, (2004).
  • [4] Brown R. and Sivera R., `Algebraic colimit calculations in homotopy theory using fibred and cofibred categories', Theory and Applications of Categories, 22, 222-251,(2009)
  • [5] Tonks, A. P., Theory and applications of crossed complexes, PhD thesis, University of Wales, (1993)
There are 5 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Articles
Authors

Rahime Çelik

Özgün Gürmen

Publication Date December 15, 2010
Published in Issue Year 2010 Issue: 023

Cite

APA Çelik, R., & Gürmen, Ö. (2010). GRUPOİDLER ÜZERİNDE ÇAPRAZLANMIŞ KOMPLEKSLERİN TABAN DEĞİŞTİRMESİ. Journal of Science and Technology of Dumlupınar University(023), 23-32.
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