Braided regular crossed modules bifibered over regular groupoids
Yıl: 2017 Cilt: 41 Sayı: 6 Sayfa Aralığı: 1385 - 1403 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022
Braided regular crossed modules bifibered over regular groupoids
Öz: We show that the forgetful functor from the category of braided regular crossed modules to the category of regular (or whiskered) groupoids is a fibration and also a cofibration.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1] Brown R. From groups to groupoids. Bull London Math Soc 1987; 19: 422-436.
- [2] Brown R. Topology and Groupoids. 3rd ed. Charleston, SC, USA: Booksurge LLC, 2006.
- [3] Brown R. Possible connections between whiskered categories and groupoids, Leibniz algebras, automorphism structures and local-to-global questions. J Homotopy Relat Str 2010; 5: 305-318.
- [4] Brown R, Gilbert ND. Algebraic models of 3-types and automorphism structures for crossed modules. P Lond Math Soc 1989; 59: 51-73.
- [5] Brown R, Higgins PJ. On the connection between the second relative homotopy groups of some related spaces. P Lond Math Soc 1978; 36: 193-212.
- [6] Brown R, Sivera R. Algebraic colimit calculations in homotopy theory using fibred and cofibred categories. Theory Appl Cat 2009; 22: 222-251.
- [7] Brown R, Wensley CD. Computation and homotopical applications of induced crossed modules. J Symbolic Comput 2003; 35: 59-72.
- [8] Casas JM, Ladra M. Colimits in the crossed modules category in Lie algebras. Geor Math J 2000; 7: 461-474.
- [9] Gilbert ND. Monoid presentations and associated groupoids. Int J Algebra Comput 1998; 8: 141-152.
- [10] Gray JW. Fibred and cofibred categories. In: Proceedings of the Conference on Categorical Algebra, La Jolla, California, 1965. New York, NY, USA: Springer, 1966, pp. 21-83.
- [11] Grothendieck A. Cat´egories cofibr´ees additives et complexe cotangent relatif. Lecture Notes in Mathematics, Vol. 79. Berlin, Germany: Springer-Verlag, 1968 (in French).
- [12] Mackenzie KCH. General Theory of Lie Groupoids and Lie Algebroids. London Mathematical Society Lecture Notes Series, Vol. 213. Cambridge, UK: Cambridge University Press, 2005.
- [13] Porter T. Some categorical results in the theory of crossed modules in commutative algebras. J Algebra 1987; 109: 415-429.
- [14] Whitehead JHC. Combinatorial homotopy II. B Am Math Soc 1949; 55: 453-496.
APA | ODABAŞ A, ULUALAN E (2017). Braided regular crossed modules bifibered over regular groupoids. , 1385 - 1403. |
Chicago | ODABAŞ Alper,ULUALAN Erdal Braided regular crossed modules bifibered over regular groupoids. (2017): 1385 - 1403. |
MLA | ODABAŞ Alper,ULUALAN Erdal Braided regular crossed modules bifibered over regular groupoids. , 2017, ss.1385 - 1403. |
AMA | ODABAŞ A,ULUALAN E Braided regular crossed modules bifibered over regular groupoids. . 2017; 1385 - 1403. |
Vancouver | ODABAŞ A,ULUALAN E Braided regular crossed modules bifibered over regular groupoids. . 2017; 1385 - 1403. |
IEEE | ODABAŞ A,ULUALAN E "Braided regular crossed modules bifibered over regular groupoids." , ss.1385 - 1403, 2017. |
ISNAD | ODABAŞ, Alper - ULUALAN, Erdal. "Braided regular crossed modules bifibered over regular groupoids". (2017), 1385-1403. |
APA | ODABAŞ A, ULUALAN E (2017). Braided regular crossed modules bifibered over regular groupoids. Turkish Journal of Mathematics, 41(6), 1385 - 1403. |
Chicago | ODABAŞ Alper,ULUALAN Erdal Braided regular crossed modules bifibered over regular groupoids. Turkish Journal of Mathematics 41, no.6 (2017): 1385 - 1403. |
MLA | ODABAŞ Alper,ULUALAN Erdal Braided regular crossed modules bifibered over regular groupoids. Turkish Journal of Mathematics, vol.41, no.6, 2017, ss.1385 - 1403. |
AMA | ODABAŞ A,ULUALAN E Braided regular crossed modules bifibered over regular groupoids. Turkish Journal of Mathematics. 2017; 41(6): 1385 - 1403. |
Vancouver | ODABAŞ A,ULUALAN E Braided regular crossed modules bifibered over regular groupoids. Turkish Journal of Mathematics. 2017; 41(6): 1385 - 1403. |
IEEE | ODABAŞ A,ULUALAN E "Braided regular crossed modules bifibered over regular groupoids." Turkish Journal of Mathematics, 41, ss.1385 - 1403, 2017. |
ISNAD | ODABAŞ, Alper - ULUALAN, Erdal. "Braided regular crossed modules bifibered over regular groupoids". Turkish Journal of Mathematics 41/6 (2017), 1385-1403. |