## Toronto Set Theory

### A higher-dimensional theory of gaps in P(N)/Fin, part III

by Stevo Todorčević | University of Toronto
Time: 13:30 — 15:00  (Friday, Feb. 04, 2011)
Location: FI210, Fields Institute, 222 College St.
Abstract:
No abstract

#### Dates in this series

· Friday, Feb. 12, 2010: On the order theory of local bases (David Milovich)
· Friday, Feb. 19, 2010: On maximal resolvability of monotonically normal spaces (Menacham Magidor)
· Friday, Mar. 05, 2010: Productively Lindelof Spaces (Frank Tall)
· Friday, Mar. 26, 2010: Gap Structure of Coherent Aronszajn Trees (continued) (Carlos Azarel)
· Friday, Apr. 09, 2010: Bounded forcing axioms and Pi-2 statements (Ralf Schindler )
· Friday, Apr. 16, 2010: Strongly D-spaces (Leandro Aurichi)
· Friday, Apr. 23, 2010: Reflection principle implies the singular cardinal hypothesis, a simplified version of a proof by Shelah (Brice Minaud)
· Friday, Apr. 30, 2010: Aronszajn trees and weak fragments of Martin's Axiom (Teruyuki Yorioka)
· Friday, May. 07, 2010: Stationary Set Reflection implies the Singular Cardinal Hypothesis (Brice Minaud)
· Friday, May. 07, 2010: Productively Lindelof spaces may all be D (Franklin D Tall)
· Friday, Jul. 23, 2010: A Hausdorff real without dominating reals (Dilip Raghavan)
· Friday, Jul. 30, 2010: PFA(S)[S] and applications (Franklin D Tall)
· Friday, Aug. 06, 2010: PFA(S)[S] and applications II (Franklin Tall)
· Friday, Aug. 13, 2010: Fragments of Martin's Maximum in the Pmax extension (Paul Larson)
· Friday, Aug. 20, 2010: A very short introduction to Woodin's Pmax forcing (Ilijas Farah)
· Friday, Sep. 10, 2010: More applications of PFA(S)[S] (Franklin D Tall)
· Friday, Oct. 29, 2010: Partition properties of the dense local order (joint with Claude Laflamme and Norbert Sauer, University of Calgary) (Lionel Nguyen Van Thé)
· Friday, Nov. 19, 2010: Some set-theoretic motives in statistical learning theory (Vladimir Pestov)
· Friday, Jan. 14, 2011: Boron Tree Structures (Jakub Jasinski)
· Friday, Jan. 21, 2011: A higher-dimensional theory of gaps in P(N)/Fin (Stevo Todorčević)
· Friday, Jan. 28, 2011: A higher-dimensional theory of gaps in P(N)/Fin, part II (Stevo Todorčević)
· Friday, Feb. 04, 2011: A higher-dimensional theory of gaps in P(N)/Fin, part III (Stevo Todorčević)
· Friday, Feb. 11, 2011: A Lindelof $T_1$ space that is not a D-space (Paul Szeptycki)
· Friday, Feb. 18, 2011: The Uniform Box Product Problem (Jocelyn Bell)
· Friday, Feb. 25, 2011: Order property of II_1 factors and its applications,  (Ilijas Farah)
· Friday, Mar. 04, 2011: The Order Property of II_1 factors and its applications, II (Ilijas Farah)
· Friday, Mar. 18, 2011: Unconditional sequences in Banach spaces of high density (Jordi Lopez-Abad)
· Friday, Mar. 25, 2011: Unconditional sequences in Banach spaces of high density (Jordi Lopez-Abad,)
· Friday, Apr. 08, 2011: Research glimpses 2 (Natasha May, Saeed Ghaseemi, Amit Gupta, et al)
· Friday, Apr. 15, 2011: Concrete mathematical incompleteness (Harvey Friedman)
· Friday, Apr. 22, 2011: What is the theory ZFC-Powerset? (Joel Hamkins)
· Friday, May. 06, 2011: Some set-theoretic motives in statistical learning theory II (Vladimir Pestov)
· Friday, May. 27, 2011: Homeomorphism groups of homogeneous compacta need not be minimal (Jan van Mill)
· Friday, Jun. 10, 2011: Choosing Ideals (Paul Larson)
· Friday, Jun. 17, 2011: Weak squares (Dilip Raghavan)
· Friday, Jun. 24, 2011: Union ultrafilters are fascinating -- a survey (Peter Krautzberger)
· Friday, Jul. 08, 2011: Density Theorems for Trees (Kostas Tyros)
· Friday, Jul. 15, 2011: Recent progress and problems concerning Lindelöf products and selection principles, AND Some topological games and selection principles (F. Tall AND R. Dias)
· Friday, Aug. 19, 2011: Mysteries of the Generic Multiverse (Gunter Fuchs)
· Friday, Oct. 28, 2011: The unconditional basic sequence problem, revisited (Stevo Todorčević)
· Friday, Nov. 04, 2011: The unconditional basic sequence problem, revisited, continued (Stevo Todorčević)
· Friday, Nov. 11, 2011: A Noetherian base for scattered linear orders (Natasha May)
· Friday, Nov. 18, 2011: Density theorems for strong subtrees (Konstantinos Tyros)
· Friday, Nov. 25, 2011: A quotient-like construction concerning elementary submodels (Peter Burton)
· Friday, Dec. 02, 2011: A quotient-like construction concerning elementary submodels, II (Peter Burton)
· Friday, Dec. 09, 2011: TBA (Hugh Woodin)
· Friday, Dec. 16, 2011: Indestructibility and selection principles (Rodrigo R. Dias)
· Friday, Jan. 13, 2012: Measurable centres in convolution semigroups (Jan Pachl)
· Friday, Jan. 20, 2012: Logic for metric structures and the number of universal sofic groups (Martino Lupini)
· Friday, Feb. 03, 2012: Generalizing Erdős-Rado to singular cardinals (Assaf Rinot)
· Friday, Feb. 10, 2012: An abstract approach to Ramsey theory with applications to finite trees (Slawomir Solecki)
· Friday, Feb. 24, 2012: A Posner-Robinson Theorem from Axiom I_0 (Xianghui Shi)
· Friday, Mar. 02, 2012: Noetherian type and other topological cardinal invariants of an order-theoretic flavour (Santi Spadaro)
· Friday, Mar. 09, 2012: Automorphisms of Calkin Algebras (Paul McKenney)
· Friday, Mar. 16, 2012: A self-dual Ramsey Theorem (Dimitrios Vlitas)
· Friday, Mar. 23, 2012: The Ramsey property for structures with an arbitrary linear ordering (Miodrag Sokic)
· Friday, Mar. 30, 2012: Lindelof spaces with small pseudocharacter, and an analog of Borel's Conjecture for subsets of uncountable products of [0,1] (Franklin Tall)
· Friday, May. 11, 2012: Constructing a Taller Thin-Thick Space (Jim McGarva)
· Friday, Jun. 08, 2012: Topological Problems for Set Theorists, II (Franklin Tall)
· Friday, Jul. 06, 2012: Easton’s Theorem for Woodin cardinals (Brent Cody)
· Friday, Jul. 13, 2012: Diagonal forms for incidence matrices and zero-sum Ramsey theory (Tony Wong)
· Friday, Jul. 20, 2012: Davies trees and stratified inverse limits (David Milovich)
· Friday, Jul. 27, 2012: Forcing consequences of PFA together with the continuum large (Miguel Angel Mota)
· Friday, Aug. 03, 2012: Ramsey classification theorems for a new class of topological Ramsey spaces, and their applications in the Tukey theory of ultrafilters (Natasha Dobrinen)
· Friday, Aug. 10, 2012: A limit stage for proper iterated forcing of length omega (Miyamoto Tadatoshi)
· Friday, Aug. 17, 2012: A bad scale and not SCH at $\aleph_\omega$ (Dima Sinapova)
· Friday, Sep. 07, 2012: Thompson's group is amenable (Justin Moore)
· Friday, Sep. 07, 2012: Extreme amenability of abelian L0 groups (Marcin Sabok)
· Friday, Sep. 21, 2012: The next best thing to a P-point (Andreas Blass)
· Friday, Sep. 28, 2012: Weak axiom of choice : can the dead be resurrected (Saharon Shelah)
· Friday, Oct. 05, 2012: On Radon-Nikodym compact spaces (Piotr Koszmider)
· Friday, Jan. 11, 2013: Chromatic number of graphs — large gaps (Assaf Rinot)
· Friday, Jan. 18, 2013: More topological consequences of PFA(S)[S] (Frank Tall)
· Friday, Jan. 25, 2013: More topological consequences of PFA(S)[S], part 2 (Frank Tall)
· Friday, Feb. 01, 2013: Automorphisms of Borel quotients of FDD-algebras (Saeed Ghasemi)
· Friday, Feb. 08, 2013: Using T-sequences to create a robust family of topological groups (Mike Pawliuk)