South African Category Theory Days 2017

SACTD2017 poster with the list of invited speakers

1 March (Day 1)


Access

Venue: 1006 Mathematical Sciences and Industrial Psychology Building


Parking 1 (paid):


Parking 2 (free):


13:50-14:00: Welcome

by S. Wagner (Head of the Mathematics Division at Stellenbosch University, and Z. Janelidze


14:00-15:00: H.-E. Porst

Coalgebras in varieties


15:30-16:30: P. Gosh

Revisiting the constructions of pre- and pseudo-topological spaces, I


5 March (Day 2)


Access

Venue: 1006 Mathematical Sciences and Industrial Psychology Building (same as on Day 1).


Parking at the venue:


9:00-10:00: N.-M. Ferreira

Mobi algebras as an abstraction to the unit interval and its comparison to rings.


Abstract: In this talk we introduce an algebraic structure, called mobi, with three constants and one ternary operation, which can be used as a model for the unit interval of the real numbers. It has been designed in order to extract the relevant properties of the unit interval that are needed for the study of spaces with geodesic paths, from an algebraic point of view. We explore its connection to rings: it turns out that every ring gives rise to a certain kind of mobi algebra and that every such structure gives rise to a certain type of ring. More specifically, we show that a unitary ring is determined by a mobi algebra if, and only if, its element 2 is invertible. We also give a characterization for those mobi algebra structures that are determined by a unitary ring. This is a joint work with Jorge P. Fatelo


10:30-11:00: X. G. Martinez

LACC categories of non-associative algebras


11:10-11:50: J. R. A. Gray

On the existence of normalizers for internal algebras in cartesian closed categories as well as in the category of topological spaces


12:00-13:00: P. Gosh

Revisiting the constructions of pre- and pseudo-topological spaces, II


13:00-14:45: Lunch Break


15:00-16:00: TBA


6 March (Day 3)


Access

Venue: 1010 Natural Science Building (Note: this venue is different from the one used in the previous days)


Same parking spots as for Day 1.


9:00-10:00: M. M. Clementino

On cocompletions in generalized enriched categories and their factorization systems


10:30-11:00: Z. Janelidze

If monoids give rise to monoidal categories, what do posets give rise to?


11:00-11:30: A. Goswami

What is the universal isomorphism theorem?


12:00-12:45: P.-J. Van Zyl

Towards projective set theory


13:00-14:45: Lunch Break


15:00-16:00: T. Dube

On quasi-normality of function rings (talk abstract).


16:15-17:00: F. Van Niekerk

On a possible notion of a cyclic group in normed projective group theory


17:00-18:00: TBA