A homology and cohomology theory for topological quandles are introduced. The relation between these (co)homology groups and quandle (co)homology groups are studied. The 1 - topological quandle cocycles are used to compute state sum invariants corresponding to knot diagrams.
Twisted Yang-Baxter sets, cohomology theory, and application to knots
The bordism version of the h-principle
An elementary study on realizable changes of homology groups of Reeb spaces of fold maps by fundamental surgery operations
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