We study the topological version of the partition calculus in the setting of countable ordinals.
Let $\alpha $ and $\beta $ be ordinals and let $ k $ be a positive integer. We write $\beta\to …

We analyse partitions of products with two ordered factors in two classes where both factors
are countable or well-ordered and at least one of them is countable. This relates the partition …

If 1≤ n< ω, κ is a cardinal, and β, αi (i< κ) are ordinals, then β→ top (αi) ni< κ denotes the
statement that if c:[β] n→ κ is a coloring, then for some i there is a homeomorphism f of αi …

SOME NEW BOUNDS ON CLOSED ORDINAL RAMSEY NUMBERS A THESIS
SUBMITTED TO THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES OF …

We study the topological version of the partition calculus in the setting of countable ordinals.
Let α and β be ordinals and let k be a positive integer. We write β→ top (α, k) 2 to mean that …

arxiv:1901.00087v2 [math.LO] 3 May 2019 Page 1 arxiv:1901.00087v2 [math.LO] 3 May
2019 THE CLOSED ORDINAL RAMSEY NUMBER Rcl(ω2, 3) = ω6 OMER MERMELSTEIN …

The closed ordinal Ramsey number 𝑅^{𝑐𝑙}(𝜔²,3)=𝜔⁶ Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 148, Number 1, January 2020, Pages 413–419 …

arxiv:1702.03878v3 [math.LO] 7 Jan 2019 Page 1 arxiv:1702.03878v3 [math.LO] 7 Jan 2019
CALCULATING THE CLOSED ORDINAL RAMSEY NUMBER Rcl(ω · 2, 3) OMER …

Topological Ramsey theory of countable ordinals Page 1 Topological Ramsey theory of countable
ordinals Jacob Hilton, University of Leeds Joint work with Andrés Caicedo, Mathematical Reviews …

CALCULATING THE CLOSED ORDINAL RAMSEY NUMBER Rcl(ω · 2, 3) Page 1 ISRAEL
JOURNAL OF MATHEMATICS 230 (2019), 387–407 DOI: 10.1007/s11856-019-1827-0 …