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reflection principles Forcing Axioms PFA S-Space Uniformly homogeneous Souslin Tree full tree Amenable C-sequence Was Ulam right? Dushnik-Miller Singular Density Well-behaved magma Large Cardinals projective Boolean algebra Strongly compact cardinal Rainbow sets stationary hitting weak square Slim tree Singular cardinals combinatorics Hedetniemi's conjecture Uniformization Prikry-type forcing Greatly Mahlo stick Successor of Regular Cardinal Foundations Hindman's Theorem Axiom R Ramsey theory over partitions Sierpinski's onto mapping principle ZFC construction Closed coloring Cardinal function OCA Knaster and friends middle diamond Shelah's Strong Hypothesis Aronszajn tree Forcing Erdos-Hajnal graphs Successor of Singular Cardinal Nonspecial tree C-sequence Poset Almost countably chromatic weak Kurepa tree Reduced Power Almost Souslin HOD GMA square Selective Ultrafilter Fast club transformations Sakurai's Bell inequality Generalized Clubs Minimal Walks Respecting tree Sigma-Prikry club_AD Martin's Axiom Rock n' Roll higher Baire space Local Club Condensation. square principles Absoluteness free Souslin tree Constructible Universe Ulam matrix Uniformly coherent Kurepa Hypothesis Mandelbrot set Knaster AIM forcing Jonsson cardinal Square-Brackets Partition Relations Intersection model unbounded function Dowker space L-space Singular cofinality sap Subnormal ideal weak diamond Subadditive Universal Sequences nonmeager set indecomposable ultrafilter Rado's conjecture Antichain Diamond-sharp Postprocessing function Iterated forcing PFA(S)[S] Partition Relations P-Ideal Dichotomy incompactness Analytic sets Microscopic Approach strongly bounded groups Fat stationary set Ineffable cardinal coloring number tensor product graph Almost-disjoint family countably metacompact 54G20 Ascent Path xbox Reflecting stationary set Generalized descriptive set theory Diamond Fodor-type reflection Commutative cancellative semigroups Precaliber polarized partition relation regressive Souslin tree Whitehead Problem Countryman line Luzin set Open Access positive partition relation b-scale Strong coloring stationary reflection Coherent tree Distributive tree Club Guessing Non-saturation Diamond for trees Filter reflection Subtle cardinal Cohen real Ostaszewski square Erdos Cardinal Hereditarily Lindelöf space Prevalent singular cardinals Commutative projection system approachability ideal Strongly Luzin set SNR free Boolean algebra Vanishing levels ccc Small forcing Cardinal Invariants Chromatic number Lipschitz reduction very good scale Weakly compact cardinal specializable Souslin tree diamond star Chang's conjecture Parameterized proxy principle super-Souslin tree Subtle tree property O-space
Tag Archives: S-Space
A guessing principle from a Souslin tree, with applications to topology
Joint work with Roy Shalev. Abstract. We introduce a new combinatorial principle which we call
Posted in Publications, Souslin Hypothesis, Topology
Tagged club_AD, Dowker space, O-space, regressive Souslin tree, S-Space, Souslin Tree, Vanishing levels
2 Comments
Syndetic colorings with applications to S and L
Notation. Write
The S-space problem, and the cardinal invariant
Recall that an S-space is a regular hereditarily separable topological space which is not hereditarily Lindelöf. In a previous post, we showed that such a space exists after adding a Cohen real. Here, we shall construct one from an arithmetic … Continue reading
The S-space problem, and the cardinal invariant
Recall that an S-space is a regular hereditarily separable topological space which is not hereditarily Lindelöf. In a previous post, we showed that such a space exists after adding a Cohen real. Here, we shall construct one from an arithmetic … Continue reading
An
Recall that an
The S-space problem, and the cardinal invariant
Recall that an
Posted in Blog, Expository, Open Problems
Tagged Hereditarily Lindelöf space, P-Ideal Dichotomy, PFA(S)[S], S-Space
4 Comments
