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Experimental Mathematics Volume 17, 2008 - Issue 4
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Original Article

Tangle Embeddings and Quandle Cocycle Invariants

Kheira Ameur Department of Mathematics and Statistics, University of South Florida, 4202 E. Fowler Ave., PHY 114, Tampa, FL 33620
,
Mohamed Elhamdadi Department of Mathematics and Statistics, University of South Florida, 4202 E. Fowler Ave., PHY 114, Tampa, FL 33620
,
Tom Rose Sarasota High School, 1000 South School Ave, Sarasota, FL 34237
,
Masahico Saito Department of Mathematics and Statistics, University of South Florida, 4202 E. Fowler Ave., PHY 114, Tampa, FL 3362
&
Chad Smudde Department of Mathematics, Pensacola Junior College, 1000 College Blvd., Pensacola, FL 32504
Pages 487-497 | Published online: 30 Jan 2011
 
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Abstract

To study embeddings of tangles in knots, we use quandle cocycle invariants. Computations are carried out for tables of knots and tangles to investigate which tangles may or may not embed in knots in the tables.

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