M. Ornaghi

activity

20162026

A_{\infty}

A model structure on the category of A $_{\infty}$ -categories with strict morphisms

Mattia Ornaghi

We prove that the category of (strictly unital) A $_{\infty}$ -categories, linear over a commutative ring $R$ , with strict A $_{\infty}$ -morphisms has a cofibrantly generated model struct…

math.CT2024

A remark on fibrancy of ($\mbox{A$_{\infty}$Cat}$,$W^{\tiny\mbox{A}_{\infty}}_{\tiny\mbox{qe}}$)

Xiaofa Chen, Mattia Ornaghi

In this note we prove the existence, in the category of (strictly unital) A $_{\infty}$ categories, of the pullback of a (strictly unital) A $_{\infty}$ functor, satisfying a particula…

math.CT2024

Localizations of the categories of $A_{\infty}$ categories and internal Homs over a ring

Alberto Canonaco, Mattia Ornaghi, Paolo Stellari

We show that, over an arbitrary commutative ring, the localizations of the categories of dg categories, of cohomologically unital, of unital and of strictly unital $A_{\infty}$ categ…

A model structure on the category of A∞​-categories with strict morphisms

A remark on fibrancy of ($\mbox{A$_{\infty}$Cat}$,$W^{\tiny\mbox{A}_{\infty}}_{\tiny\mbox{qe}}$)

Localizations of the categories of A∞​ categories and internal Homs over a ring

A model structure on the category of A $_{\infty}$ -categories with strict morphisms

Localizations of the categories of $A_{\infty}$ categories and internal Homs over a ring