A functor-valued extension of knot quandles

Mathematics – Geometric Topology

Scientific paper

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17 pages, 7 figures, typos and inconsintent notations are corrected

Scientific paper

For an oriented knot $K$, we construct a functor from the category of pointed
quandles to the category of quandles in three different ways. We also extend
the quandle cocycle invariants of knots by using these quandle-valued invariant
of knots, and study their properties.

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