BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Walter Tholen (York University) DTSTART:20210520T123000Z DTEND:20210520T133000Z DTSTAMP:20260423T052756Z UID:itaca/3 DESCRIPTION:Title: Re visiting Burroni's T-categories\nby Walter Tholen (York University) as part of ItaCa Fest 2021\n\n\nAbstract\nFollowing the appearance of Lambek ’s multicategories and Barr’s presentation of topological spaces as re lational T-algebras\, Albert Burroni introduced T-categories and T-functor s in 1971. They provide an overarching environment for the general study o f algebras and spaces\, which encompasses elements of monad theory\, inter nal category theory\, and categorical topology.\n\n In this talk we have a fresh look at Burroni’s paper and point to the Street-Walters comprehe nsive factorization system for functors and the (antiperfect\, perfect) fa ctorization system for continuous maps of Tychonoff spaces to demonstrate that\, despite its generality\, Burroni’s setting allows for the establi shment of non-trivial results and the discovery of unexpected connections between seemingly unrelated theorems. \n\n(Joint work with Leila Yeganeh)\ n LOCATION:https://researchseminars.org/talk/itaca/3/ END:VEVENT END:VCALENDAR