CHANGE BASE FOR CROSSED COMPLEXES OVER GROUPOIDS

Öz

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

Anahtar Kelimeler

• Crossed Complex,Crossed Module,Pullback,Gruopoid

GRUPOİDLER ÜZERİNDE ÇAPRAZLANMIŞ KOMPLEKSLERİN TABAN DEĞİŞTİRMESİ

Öz

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

Anahtar Kelimeler

• Çaprazlanmış Kompleks,Çaprazlanmış Modül,Pullback,Grupoid

Kaynakça

1. [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. [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. [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. [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. [5] Tonks, A. P., Theory and applications of crossed complexes, PhD thesis, University of Wales, (1993)