Idempotents in Tangle Categories Split

Autor: Ryan Blair, Joshua Sack
Rok vydání: 2019
Předmět:
Zdroj: Journal of Knot Theory and Its Ramifications. 28:1950025
ISSN: 1793-6527
0218-2165
DOI: 10.1142/s0218216519500251
Popis: In this paper we use 3-manifold techniques to illuminate the structure of the category of tangles. In particular, we show that every idempotent morphism $A$ in such a category naturally splits as $A=B\circ C$ such that $C\circ B$ is an identity morphism.
Comment: 10 pages, 5 figures
Databáze: OpenAIRE