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PULLBACK CAT-1 RACKS

Year 2017, Volume: 5 Issue: 1, 106 - 112, 01.04.2017

Abstract

In this paper we introduce the notion of pullbak cat-1 racks, which is obtained by a certain kind of pullback diagram in the category of racks.

References

  • [1] M. Alp. Pullbacks of crossed modules and cat-1 groups. Turkish Journal of Mathematics, 22:273-281, 1998.
  • [2] E. Brieskorn. Automorphic sets and braids and singularities. Braids, AMS-IMS-SIAM Jt. Summer Res. Conf., Santa Cruz/Calif. 1986, Contemp. Math. 78, 45-115 (1988)., 1988.
  • [3] R. Brown and C.D. Wensley. On in nite induced crossed modules and the homotopy 2-type of mapping cones. Theory Appl. Categ., 1, 1995.
  • [4] J.H. Conway and G. Wraith. Unpublished correspondence. 1959.
  • [5] A.S. Crans and F. Wagemann. Crossed modules of racks. Homology Homotopy Appl., 16(2):85-106, 2014.
  • [6] R. Fenn and C. Rourke. Racks and links in codimension two. J. Knot Theory Rami cations, 1(4):343-406, 1992.
  • [7] L.H. KauFFman. Knots and Physics. K & E series on knots and everything. World Scienti c, 2001.
  • [8] J.L. Loday. Spaces with nitely many non-trivial homotopy groups. Journal of Pure and Applied Algebra, 24(2):179-202, 1982.
  • [9] D. Stanovskiy. Left distributive left quasigroup, phd thesis, 2004.
  • [10] J.H.C. Whitehead. On adding relations to homotopy groups. Ann. Math. (2), 42:409-428, 1941.
Year 2017, Volume: 5 Issue: 1, 106 - 112, 01.04.2017

Abstract

References

  • [1] M. Alp. Pullbacks of crossed modules and cat-1 groups. Turkish Journal of Mathematics, 22:273-281, 1998.
  • [2] E. Brieskorn. Automorphic sets and braids and singularities. Braids, AMS-IMS-SIAM Jt. Summer Res. Conf., Santa Cruz/Calif. 1986, Contemp. Math. 78, 45-115 (1988)., 1988.
  • [3] R. Brown and C.D. Wensley. On in nite induced crossed modules and the homotopy 2-type of mapping cones. Theory Appl. Categ., 1, 1995.
  • [4] J.H. Conway and G. Wraith. Unpublished correspondence. 1959.
  • [5] A.S. Crans and F. Wagemann. Crossed modules of racks. Homology Homotopy Appl., 16(2):85-106, 2014.
  • [6] R. Fenn and C. Rourke. Racks and links in codimension two. J. Knot Theory Rami cations, 1(4):343-406, 1992.
  • [7] L.H. KauFFman. Knots and Physics. K & E series on knots and everything. World Scienti c, 2001.
  • [8] J.L. Loday. Spaces with nitely many non-trivial homotopy groups. Journal of Pure and Applied Algebra, 24(2):179-202, 1982.
  • [9] D. Stanovskiy. Left distributive left quasigroup, phd thesis, 2004.
  • [10] J.H.C. Whitehead. On adding relations to homotopy groups. Ann. Math. (2), 42:409-428, 1941.
There are 10 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

Hatice Gülsün Akay

İ. İlker Akça

Publication Date April 1, 2017
Submission Date February 19, 2017
Acceptance Date January 19, 2017
Published in Issue Year 2017 Volume: 5 Issue: 1

Cite

APA Akay, H. G., & Akça, İ. İ. (2017). PULLBACK CAT-1 RACKS. Konuralp Journal of Mathematics, 5(1), 106-112.
AMA Akay HG, Akça İİ. PULLBACK CAT-1 RACKS. Konuralp J. Math. April 2017;5(1):106-112.
Chicago Akay, Hatice Gülsün, and İ. İlker Akça. “PULLBACK CAT-1 RACKS”. Konuralp Journal of Mathematics 5, no. 1 (April 2017): 106-12.
EndNote Akay HG, Akça İİ (April 1, 2017) PULLBACK CAT-1 RACKS. Konuralp Journal of Mathematics 5 1 106–112.
IEEE H. G. Akay and İ. İ. Akça, “PULLBACK CAT-1 RACKS”, Konuralp J. Math., vol. 5, no. 1, pp. 106–112, 2017.
ISNAD Akay, Hatice Gülsün - Akça, İ. İlker. “PULLBACK CAT-1 RACKS”. Konuralp Journal of Mathematics 5/1 (April 2017), 106-112.
JAMA Akay HG, Akça İİ. PULLBACK CAT-1 RACKS. Konuralp J. Math. 2017;5:106–112.
MLA Akay, Hatice Gülsün and İ. İlker Akça. “PULLBACK CAT-1 RACKS”. Konuralp Journal of Mathematics, vol. 5, no. 1, 2017, pp. 106-12.
Vancouver Akay HG, Akça İİ. PULLBACK CAT-1 RACKS. Konuralp J. Math. 2017;5(1):106-12.
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