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REMARKS ON THE EQUIVALENCE BETWEEN DIFFERENTIAL GRADED CATEGORIES AND A-INFINITY CATEGORIES

Research output: Contribution to journalArticlepeer-review

Abstract

We show that the homotopy theories of differential graded categories and A∞-categories over a field are equivalent at the (∞, 1)-categorical level. The results are corollaries of a theorem of Canonaco-Ornaghi-Stellari combined with general relationships between different versions of (to, 1)-categories.

Original languageEnglish (US)
Pages (from-to)275-285
Number of pages11
JournalHomology, Homotopy and Applications
Volume26
Issue number1
DOIs
StatePublished - 2024

Keywords

  • A-infinity category
  • differential graded category

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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