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- Prikry forcing may add a Souslin tree June 12, 2016
- The reflection principle $R_2$ May 20, 2016
- Prolific Souslin trees March 17, 2016
- Generalizations of Martin’s Axiom and the well-met condition January 11, 2015
- Many diamonds from just one January 6, 2015
- Happy new jewish year! September 24, 2014
- Square principles April 19, 2014
- Partitioning the club guessing January 22, 2014

### Keywords

Hereditarily Lindelöf space Minimal Walks polarized partition relation super-Souslin tree weak square Almost-disjoint famiy Parameterized proxy principle Erdos-Hajnal graphs Martin's Axiom Successor of Singular Cardinal Chromatic number Commutative cancellative semigroups OCA Ascent Path Rock n' Roll PFA Cardinal function coloring number reflection principles Distributive tree HOD ccc Prikry-type forcing very good scale Shelah's Strong Hypothesis square principles Hindman's Theorem approachability ideal Microscopic Approach Sakurai's Bell inequality Antichain Prevalent singular cardinals Postprocessing function Absoluteness Reduced Power Square-Brackets Partition Relations Luzin set Souslin Tree 11P99 Knaster Whitehead Problem 05A17 Dushnik-Miller Stevo Todorcevic Generalized Clubs stationary reflection Coherent tree Kurepa Hypothesis Almost Souslin Forcing Cardinal Invariants Small forcing b-scale Slim tree Forcing Axioms diamond star incompactness Large Cardinals Rainbow sets Singular coﬁnality Weakly compact cardinal middle diamond Mandelbrot set Uniformization Non-saturation Selective Ultrafilter Hedetniemi's conjecture Axiom R Uniformly coherent sap Foundations Universal Sequences Fat stationary set Cohen real S-Space Singular cardinals combinatorics Erdos Cardinal Successor of Regular Cardinal L-space Fodor-type reflection Fast club Nonspecial tree Jonsson cardinal Almost countably chromatic square free Boolean algebra Ostaszewski square projective Boolean algebra Chang's conjecture 20M14 stationary hitting Constructible Universe Rado's conjecture Aronszajn tree weak diamond PFA(S)[S] Diamond Partition Relations xbox P-Ideal Dichotomy Club Guessing Singular Density Poset tensor product graph

# Tag Archives: L-space

## Syndetic colorings with applications to S and L

Notation. Write $\mathcal Q(A):=\{ a\subseteq A\mid a\text{ is finite}, a\neq\emptyset\}$. Definition. An L-space is a regular hereditarily Lindelöf topological space which is not hereditarily separable. Definition. We say that a coloring $c:[\omega_1]^2\rightarrow\omega$ is L-syndetic if the following holds. For every uncountable … Continue reading