The degenerate distributive complex is degenerate
Józef Henryk Przytycki , Krzysztof K. Putyra
AbstractWe prove that the degenerate part of the distributive homology of a multispindle is determined by the normalized homology.In particular,when the multispindle is a quandle Q, the degenerate homology of Q is completely determined by the quandle homology of Q. For this case (and generally for two-term homology of a spindle) we provide an explicit Künneth-type formula for the degenerate part. This solves the mystery in algebraic knot theory of the meaning of the regenerate quandle homology, brought over 15 years ago when the homology theories were defined, and the degenerate part was observed to be nontrivial.
|Journal series||European Journal of Mathematics, ISSN 2199-675X, e-ISSN 2199-6768, (0 pkt)|
|Publication size in sheets||1.2|
|Keywords in English||spindle, quandle, rack homology, quandle homology, degenerate homology|
|Score|| = 0.0, 24-07-2019, ArticleFromJournal|
= 5.0, 24-07-2019, ArticleFromJournal - czasopismo zagraniczne spoza list
|Publication indicators||: 2016 = 0.227|
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