4 citations · 10 across the 8 of their papers we have counts for
8 papers
Notes on some categories related to that of finite totally ordered sets
Takuo Matsuoka
The purpose of these notes is to collect in one place some facts on the category of finite totally ordered sets and some related categories. More specifically, we collect some resu…
Higher coherence and a generalization of higher categorified algebraic structures
Takuo Matsuoka
In various subjects including mathematics, one can hope to use mathematical thinking well when the right kinds of algebraic structure to consider can be discovered or spotted. Ther…
Higher theories of algebraic structures
Takuo Matsuoka
The notion of (symmetric) coloured operad or "multicategory" can be obtained from the notion of commutative algebra through a certain general process which we call "theorization" (…
A generalization of categorification, and higher "theory" of algebras
Takuo Matsuoka
We give an introduction to the topics of our forthcoming work, in which we introduce and study new mathematical objects which we call "higher theories" of algebras, where inspirati…
Koszul duality for locally constant factorization algebras
Takuo Matsuoka
Generalising Jacob Lurie's idea on the relation between the Verdier duality and the iterated loop space theory, we study the Koszul duality for locally constant factorisation algeb…
Descent properties of the topological chiral homology
Takuo Matsuoka
We study descent properties of Jacob Lurie's topological chiral homology. We prove that this homology theory satisfies descent for a factorizing cover, as defined by Kevin Costello…