Derived $(\infty,1)$-categories of two kinds
Grigory Kondyrev
TL;DR
This paper reformulates the theory of unbounded derived categories, including newer variants, within the framework of $( abla,1)$-categories, providing a modern homotopical perspective.
Contribution
It introduces a new $( abla,1)$-categorical formulation of unbounded derived categories and their variants, enhancing the theoretical understanding.
Findings
Unified $( abla,1)$-categorical framework for derived categories
Extension of classical theory to categories of first and second kind
Facilitates future homotopical and categorical research
Abstract
The aim of this paper is to reformulate the theory of unbounded derived categories, including more recent categories of first and second kind, using the language of -categories.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra