topology

A Topological Approach to Representational Data Models

As data accumulate faster and bigger, building representational models has turned into an art form. Despite sharing common data types, each scientific discipline often takes a different approach. In this work, we propose representational models …

Bikei, Involutory Biracks and Unoriented Link Invariants

We identify a subcategory of biracks which define counting invariants of unoriented links, which we call involutory biracks. In particular, involutory biracks of birack rank $N=1$ are biquandles, which we call bikei. We define counting invariants of …