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The rack space, , and . (2003)cite arxiv:math/0304228 Comment: This paper is largely extracted from our January 1996 preprint `James bundles and applications' available at http://www.maths.warwick.ac.uk/~cpr/ftp/james.ps Version 2: minor corrections.Trunks and classifying spaces., , and . Appl. Categorical Struct., 3 (4): 321-356 (1995)The braid-permutation group, , and . Topology, 36 (1): 123--135 (1997)Biquandles and virtual links, , and . Topology and its Applications, 145 (1-3): 157--175 (2004)Racks and links in codimension 2, and . Journal of Knot Theory and its Ramifications, (1992)Spherical representations of the link quandles, and . Turkish J. Math., 18 (1): 102--110 (1994)