Document Zbl 1432.57011 - zbMATH Open

[1] Andruskiewitsch, N. and Graña, M., From racks to pointed Hopf algebras, Adv. Math.178(2) (2003) 177-243. https://doi.org/10.1016/S0001-8708(02)00071-3. MR1994219. · Zbl 1032.16028 [2] Barnnett, S., Matrices. Methods and Applications, (The Clarendon Press, Oxford University Press, New York1990) MR1076364. [3] Carter, J. S., Elhamdadi, M. and Saito, M., Twisted quandle homology theory and cocycle knot invariants, Algebr. Geom. Topol.2 (2002) 95-135. https://doi.org/10.2140/agt.2002.2.95. MR1885217. · Zbl 0991.57005 [4] Carter, J. S., Elhamdadi, M. and Saito, M., Homlogy theory for the set-theoretic Yang-Baxter equation and knot invariants from generalizations of quandles, Fund. Math.184 (2004) 31-54. MR2128041. · Zbl 1067.57006 [5] Carter, J. S., Elhamdadi, M., Nikiforou, M. A. and Saito, M., Extensions of quandles and cocycle knot invariants, J. Knot Theory Ramifications12(6) (2003) 725-738. https://doi.org/1142/S0218216503002718. MR2008876. · Zbl 1049.57008 [6] Carter, J. S., Jelsovsky, D., Kamada, S., Langford, L. and Saito, M., Quandle cohomology and state-sum invariants of knotted curves and surfaces, Trans. Amer. Math. Soc.355(10) (2003) 3947-3989. https://doi.org/10.1090/S0002-9947-03-03046-0. MR1990571. · Zbl 1028.57003 [7] Cheng, Z., Elhamdadi, M. and Shekhtman, B., On the classification of topological quandles, Topology Appl.248 (2018), 64-74. https://doi.org/10.1016/j.topol.2018.08.011. MR3856599. · Zbl 1401.57024 [8] Clark, W. E. and Saito, M., Longitudinal mapping knot invariant for SU(2), J. Knot Theory Ramifications27(11) (2018) 1843014, 22. https://doi.org/10.1142/S0218216518430149. MR3868943. · Zbl 1401.57009 [9] Eisermann, M., Quandle coverings and their galois correspondenceFund. Math.225 (2007) 103-167. · Zbl 1301.57006 [10] Elhamdadi, M., El-Kaïoum and Moutuou, M., Foundations of topological racks and quandles, J. Knot Theory Ramifications25(3) (2016) 1640002, 17. <uri xlink:href=“https://doi.org/10.1142/ S0218216516400022”>https://doi.org/10.1142/ S0218216516400022. MR3475069. · Zbl 1345.57022 [11] Elhamdadi, M. and Nelson, S., Quandles — An Introduction to the Algebra of Knots, , Vol. 74, American Mathematical Society, Providence, RI, 2015. MR3379534. · Zbl 1332.57007 [12] Fenn, R., Rourke, C. and Sanderson, B., Trunks and classifying spaces, Appl. Categ. Structures3 (1995), 321-356. · Zbl 0853.55021 [13] Ishii, A., Iwakiri, M., Jang, Y. and Oshiro, K., A \(G\)-family of quandles and handlebody-knots, Illinois J. Math.57 (2015) 817-838. · Zbl 1306.57011 [14] Joyce, D., A classifying invariant of knots, the knot quandle, J. Pure Appl. Algebra23(1) (1982) 37-65. https://doi.org/10.1016/0022-4049(82)90077-9, MR638121. · Zbl 0474.57003 [15] S. V. Matveev, Distributive groupoids in knot theory, Mat. Sb. (N.S.)119(161) (1982), no. 1, 78-88, 160 (Russian). MR672410. · Zbl 0523.57006 [16] Mochizuki, T., The third cohomology groups of dihedral quandles, J. Knot Theory Ramifications20(7) (2011) 1041-1057. MR2819181. · Zbl 1226.57010 [17] Nelson, S., Classification of finite Alexander quandles, Proc. Spring Topology and Dynamical Systems Conf. (2003), pp. 245-258. MR2048935. · Zbl 1066.57019 [18] T. Nosaka, de Rham Homotopy Theory and Characteristic Classes of Cubical Sets from Smooth Quandles, preprint, (2018). [19] Reem, D., Remarks on the Cauchy functional equation and variations of it, Aequationes Math.91(2) (2017) MR3627381. · Zbl 1368.39017 [20] Rubinsztein, R. L., Topological quandles and invariants of links, J. Knot Theory Ramifications16(6) (2007) 789-808. https://doi.org/10.1142/S0218216507005518. MR2341318. · Zbl 1151.57011 [21] Stasheff, J. D., Continuous cohomology of groups and classifying spaces, Bull. Amer. Math. Soc.84(4) (1978) 513-530. https://doi.org/10.1090/S0002-9904-1978-14488-7. MR0494071. · Zbl 0399.55009 [22] Takasaki, M., Abstraction of symmetric transformations, Tôhoku Math. J.49 (1943) 145-207 (Japanese). MR0021002. · Zbl 0061.02109 [23] Wilson, J. S., Profinite groups, , Vol. 19 (The Clarendon Press, Oxford University Press, New York, 1998) MR1691054. · Zbl 0909.20001