Multi-quandles of topological pairs
Vladimir Turaev
TL;DR
This paper introduces a new algebraic structure called multi-quandles, generalizing knot quandles to pairs of topological spaces and their subspaces, providing a broader framework for topological invariants.
Contribution
The paper defines multi-quandles for topological pairs, extending the concept of knot quandles to more general topological settings.
Findings
Multi-quandles generalize knot quandles to topological pairs.
They provide new algebraic tools for studying topological spaces.
Potential applications in topological invariants and knot theory.
Abstract
In generalization of knot quandles we introduce similar algebraic structures associated with arbitrary pairs consisting of a path-connected topological space and its path-connected subspace.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Homotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology