This article is written as web pages posted at http://shell.cas.usf.edu/quandle under the title Application: Tangle Embedding.
The purpose of this paper is to present our results on using quandle cocycle invariants to study tangle embeddings. This is a group research project, with group members: Khiera Ameur, Mohamed Elhamdadi, Tom Rose, Masahico Saito, and Chad Smudde.