The Betti numbers of some finite racks

DOI10.1016/S0022-4049(02)00211-6zbMath1017.55014arXivmath/0106165MaRDI QIDQ1861502

Sam Nelson, Richard A. Litherland

Publication date: 9 March 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0106165

zbMATH Keywords

racksBetti numbersAlexander racksdihedral and Alexander quandlesincludes dihedral and Alexander racksquandle chain complexes

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Degree, winding number (55M25) Chain complexes in algebraic topology (55U15) Other homology theories in algebraic topology (55N35)

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Cites Work

• Trunks and classifying spaces
• RACKS AND LINKS IN CODIMENSION TWO
• GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY
• Computations of quandle cocycle invariants of knotted curves and surfaces
• Quandle homology groups, their Betti numbers, and virtual knots