Recent seminar announcements- Witold Marciszewski: On factorization properties of function spaces Kurt Godel Research Center
- Peter Nyikos: Cardinality restrictions on some kinds of locally compact spaces Kurt Godel Research Center
- Shimon Garti: The club principle and the splitting number Israeli Logic Talks
- Bill Chen: Variations of the stick principle Israeli Logic Talks
- David Schrittesser: News on mad families Kurt Godel Research Center
- Diana Carolina Montoya Amaya: Some cardinal invariants of the generalized Baire spaces Kurt Godel Research Center
- Dima Sinapova: Iterating Prikry Forcing Logic Seminar in Turin
- Stefan Hoffelner: NS saturated and Delta_1-definable Bonn Logic Seminar
- Ari Brodsky: Constructing free Souslin trees from a proxy principle Israeli Logic Talks
- Aleksander Cieślak: Cohen-stable families of subsets of integers Wrocław University of Technology
-
- All posts in one feed:
- Follow us on Twitter:
- All posts in one feed:
Recent discussions
10th Young Set Theory Workshop, Edinburgh, July 10-14, 2017 | Set Theory Talks on 6th Young Set Theory Workshop, June 10-14, 2013
saf on Assaf Rinot: The strength of the generalized Souslin hypothesis
David Fernández Bretón earned a Ph.D. from the Department of Mathematics and Statistics of York University in Toronto, under the supervision of Juris Steprāns.
My main interests are Logic and Set Theory, especially Forcing and Large Cardinals (although my knowledge of the latter is not as deep as I would like), and their applications to Algebra and Analysis. I am currently working on the algebra and topology of the Stone-Čech compactification of groups, notably Abelian groups, and with idempotents in said compactification. I have also been interested in the Cardinal Invariants of the Continuum for a while.
In a much more informal fashion (pretty much as a hobby), I also like to look at alternative axiomatizations of set theory, such as NFU, and some (very basic) category theory. I am also interested in the Philosophy of Mathematics and in Ludwig Wittgenstein’s life and work.
Recent and upcoming talks by David J. Fernández Bretón
David J. Fernández Bretón: mathfrak p=mathfrak t, III
Tuesday, April 18, 2017, from 4 to 5:30pm
East Hall, room 3096
Speaker: David J. Fernández Bretón (University of Michigan)
Title: mathfrak p=mathfrak t, III
Abstract:
This is the third and last talk in the series (reasonably self-contained for those who missed any number of previous parts). continue reading…
David J. Fernández Bretón: mathfrak p=mathfrak t, II
Thursday, April 6, 2017, from 4 to 5:30pm
East Hall, room 3088
Speaker: David J. Fernández Bretón (University of Michigan)
Title: mathfrak p=mathfrak t, II
Abstract:
This is the second in a series of (hopefully at most) three talks, and it will be reasonably self-contained for those who missed the first part. continue reading…
David J. Fernández Bretón: mathfrak p=mathfrak t
Thursday, March 30, 2017, from 4 to 5:30pm
East Hall, room 3088
Speaker: David J. Fernández Bretón (University of Michigan)
Title: mathfrak p=mathfrak t
Abstract:
In a series of (hopefully at most) two talks, I will present the proof, due to Maryanthe Malliaris and Saharon Shelah in 2012, that the cardinal invariants p and t are equal, which constitutes an extremely important result in the theory of Cardinal Characteristics of the Continuum. continue reading…
David J. Fernández Bretón: Strong failures of higher analogs of Hindman’s theorem, III
Thursday, October 27, 2016, from 4 to 5:30pm
East Hall, room 3096
Speaker: David J. Fernández Bretón (University of Michigan)
Title: Strong failures of higher analogs of Hindman’s theorem, III
Abstract:
Assuming the Continuum Hypothesis, Hindman, Leader and Strauss recently exhibited a colouring of the real line with two colours such that, for every uncountable set of reals, the collection of pairwise sums of these reals is panchromatic. continue reading…
David J. Fernández Bretón: Strong failures of higher analogs of Hindman’s theorem, II
Thursday, October 20, 2016, from 4 to 5:30pm
East Hall, room 3096
Speaker: David J. Fernández Bretón (University of Michigan)
Title: Strong failures of higher analogs of Hindman’s theorem, II
Abstract:
(One of the versions of) Hindman’s theorem states that, whenever we partition an infinite abelian group G in two cells, there exists an infinite subset X of G such that the set FS(X) consisting of all sums of finitely many distinct elements of X is entirely contained within one of the cells of the partition. continue reading…
David J. Fernández Bretón: Strong failures of higher analogs of Hindman’s theorem, I
Thursday, October 13, 2016, from 4 to 5:30pm
East Hall, room 3096
Speaker: David J. Fernández Bretón (University of Michigan)
Title: Strong failures of higher analogs of Hindman’s theorem, I
Abstract:
(One of the versions of) Hindman’s theorem states that, whenever we partition an infinite abelian group G in two cells, there exists an infinite subset X of G such that the set FS(X) consisting of all sums of finitely many distinct elements of X is entirely contained within one of the cells of the partition. continue reading…
David Fernández Bretón: An introduction to weak diamonds, II
Thursday, November 19, 2015; 16:00-17:30; East Hall 3096
After having introduced the basics of weak diamond principles, we will show their usage with some examples: construction of a Suslin tree, of strongly summable ulrafilters, and of gruff ultrafilters. continue reading…
David Fernández Bretón: An introduction to weak diamonds
Thursday, November 5, 2015, 16:00-17:30, 3096 East Hall.
I will introduce the basics of weak diamond principles, and show their usage with a couple of examples (construction of a Suslin tree and of a P-point). continue reading…
David Fernandez Breton: All that there is to know about gruff ultrafilters, II
Wednesday, September 23, 2015 — 16:00 to 17:30 — 3096 East Hall
An ultrafilter on the rational numbers is gruff if it has a base of perfect (this is, closed and without isolated points) sets. continue reading…
David Fernández Bretón: All that there is to know about gruff ultrafilters
Wednesday, September 16, 2015
3096 East Hall
16:00-17:30.
Gruff ultrafilters are ultrafilters on the rational numbers that have a basis of perfect sets (according to the usual Euclidean topology). I will explain what is known about their existence, and hopefully (if there’s enough time) finish with a theorem of M. continue reading…