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RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS

Year 2016, Volume: 4 Issue: 1, 282 - 290, 01.04.2016

Abstract

In this work, we explored the categorical relationships between crossed modules, 2-and 3- crossed modules of groupoids

References

  • [1] Arvasi, Z., Ulualan, E., On Algebraic Models for Homotopy 3-Types, Journal of Homotopy and Related Structures, vol. 1(1),2006,pp 1-27.
  • [2] Arvasi, Z., Kuzpinari, T.S., Uslu, E.O., 3-crossed modules, Homology Homotopy and Applications, 11, 2, 161- 187, (2009).
  • [3] Brown, R., Possible connections between whiskered categories and groupoids leibniz algebras automorphism structure and local-to-global questions, Journal of Homotopy and Related Structures, 5, 1, 308-318, (2010).
  • [4] Brown, R., From groups to groupoids, Bull. London Math Soc., 19, 1, 113-134, (1987).
  • [5] Brown, R., Gilbert, N.D., Algebraic models of 3-types and automorphism structures for crossed modules, Proc. London Math Soc., 3, 51-73,(1989).
  • [6] Brown, R., Higgins, P.J., On the algebra of cubes, Journal of Pure and Applied Algebra, 21, 233-260,(1981).
  • [7] Brown, R., Spencer, C.B., G-groupoids, crossed modules and fundamental groupoid of a topological group, Proc. Konink. Neder. Akad. Van Wetenschappen Amsterdam, 79, 4,(1976).
  • [8] Conduche, D., Modules croises generalises de longuer 2, Journal of Pure and Applied Algebra, 34, 155-178, (1984).
  • [9] Loday, J.L., Spaces with nitely many non-trival homotopy groups, Journal of Pure and Applied Algebra, 24, 179-202, (1982).
  • [10] Ulualan, E., Pak, S., Braiding for internal categories in the category of whiskered groupoids and simplicial groups, Turk J Math ,37 , 145-164,(2013).
  • [11] Whitehead, J.H.C., Combinatorial homotopy II, Bull. Amer. Math. Soc., 55, 453-496, (1949).
Year 2016, Volume: 4 Issue: 1, 282 - 290, 01.04.2016

Abstract

References

  • [1] Arvasi, Z., Ulualan, E., On Algebraic Models for Homotopy 3-Types, Journal of Homotopy and Related Structures, vol. 1(1),2006,pp 1-27.
  • [2] Arvasi, Z., Kuzpinari, T.S., Uslu, E.O., 3-crossed modules, Homology Homotopy and Applications, 11, 2, 161- 187, (2009).
  • [3] Brown, R., Possible connections between whiskered categories and groupoids leibniz algebras automorphism structure and local-to-global questions, Journal of Homotopy and Related Structures, 5, 1, 308-318, (2010).
  • [4] Brown, R., From groups to groupoids, Bull. London Math Soc., 19, 1, 113-134, (1987).
  • [5] Brown, R., Gilbert, N.D., Algebraic models of 3-types and automorphism structures for crossed modules, Proc. London Math Soc., 3, 51-73,(1989).
  • [6] Brown, R., Higgins, P.J., On the algebra of cubes, Journal of Pure and Applied Algebra, 21, 233-260,(1981).
  • [7] Brown, R., Spencer, C.B., G-groupoids, crossed modules and fundamental groupoid of a topological group, Proc. Konink. Neder. Akad. Van Wetenschappen Amsterdam, 79, 4,(1976).
  • [8] Conduche, D., Modules croises generalises de longuer 2, Journal of Pure and Applied Algebra, 34, 155-178, (1984).
  • [9] Loday, J.L., Spaces with nitely many non-trival homotopy groups, Journal of Pure and Applied Algebra, 24, 179-202, (1982).
  • [10] Ulualan, E., Pak, S., Braiding for internal categories in the category of whiskered groupoids and simplicial groups, Turk J Math ,37 , 145-164,(2013).
  • [11] Whitehead, J.H.C., Combinatorial homotopy II, Bull. Amer. Math. Soc., 55, 453-496, (1949).
There are 11 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Çağri Ataseven This is me

Publication Date April 1, 2016
Submission Date July 10, 2014
Published in Issue Year 2016 Volume: 4 Issue: 1

Cite

APA Ataseven, Ç. (2016). RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS. Konuralp Journal of Mathematics, 4(1), 282-290.
AMA Ataseven Ç. RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS. Konuralp J. Math. April 2016;4(1):282-290.
Chicago Ataseven, Çağri. “RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS”. Konuralp Journal of Mathematics 4, no. 1 (April 2016): 282-90.
EndNote Ataseven Ç (April 1, 2016) RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS. Konuralp Journal of Mathematics 4 1 282–290.
IEEE Ç. Ataseven, “RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS”, Konuralp J. Math., vol. 4, no. 1, pp. 282–290, 2016.
ISNAD Ataseven, Çağri. “RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS”. Konuralp Journal of Mathematics 4/1 (April 2016), 282-290.
JAMA Ataseven Ç. RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS. Konuralp J. Math. 2016;4:282–290.
MLA Ataseven, Çağri. “RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS”. Konuralp Journal of Mathematics, vol. 4, no. 1, 2016, pp. 282-90.
Vancouver Ataseven Ç. RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS. Konuralp J. Math. 2016;4(1):282-90.
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