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CHANGE BASE FOR CROSSED COMPLEXES OVER GROUPOIDS

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

Abstract

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

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

Abstract

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

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 This is me

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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