COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Junior Category Theory Seminar > Van Kampen's Theorem: classic, directed & generalized

## Van Kampen's Theorem: classic, directed & generalizedAdd to your list(s) Download to your calendar using vCal - Tobias Heindel (University of Edinburgh)
- Thursday 27 February 2014, 14:00-15:00
- CMS, MR13.
If you have a question about this talk, please contact Sean Moss. The talk will start with a review of the basic definitions and main ideas of the Seifert-Van Kampen Theorem, which states that the fundamental group(oid) functor preserves certain colimits from the category of “nice” topological spaces to the category of group(oid)s. It is much less well-known that the theorem can be generalized without much complication to directed topological spaces and their fundamental categories, using essentially the same proof. The situation is different for the so-called tautological proof of the Van Kampen Theorem, which relies on the equivalence between the fundamental groupoid π1(X) and the category of covering spaces Cov(X) for any “nice” space X. The talk will describe the crucial points of the tautological proof of the VK theorem and finishes with a discussion of its rôle in Brown’s generalized Van Kampen theorems, which gave rise to the study of adhesive categories. This talk is part of the Junior Category Theory Seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- CMS, MR13
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Interested Talks
- Junior Category Theory Seminar
- School of Physical Sciences
- bld31
- ndb35's list
- yk373's list
Note that ex-directory lists are not shown. |
## Other listsNumber Theory Study Group: Langlands correspondence Sociolinguistics Seminar Physics of Medicine Journal Club## Other talksJoseph Banks: science, culture and the remaking of the Indo-Pacific world Scaling of tissue proportions to body size during vertebrate development Lua: designing a language to be embeddable Taking Investment in Education Seriously - Two Part Series Anglo-Ottoman encounter in the Age of the Beloveds Nonstationary Gaussian process emulators with covariance mixtures |