Results 31 to 40 of about 57 (57)

Finding product sets in some classes of amenable groups

open access: yesForum of Mathematics, Sigma
In [15], using methods from ergodic theory, a longstanding conjecture of Erdős (see [5, Page 305]) about sumsets in large subsets of the natural numbers was resolved.
Dimitrios Charamaras, Andreas Mountakis
doaj   +1 more source

The weak Ramsey property and extreme amenability

open access: yesForum of Mathematics, Sigma
We extend the Kechris–Pestov–Todorčević correspondence to weak Fraïssé categories and automorphism groups of generic objects. The new ingredient is the weak Ramsey property.
Adam Bartoš   +3 more
doaj   +1 more source

Echeloned Spaces

open access: yesForum of Mathematics, Sigma
We introduce the notion of echeloned spaces – an order-theoretic abstraction of metric spaces. The first step is to characterize metrizable echeloned spaces. It turns out that morphisms between metrizable echeloned spaces are uniformly continuous or have
Maxime Gheysens   +4 more
doaj   +1 more source

Genetic snapshots of the Rhizobium species NGR234 genome. [PDF]

open access: yesGenome Biol, 2000
Viprey V   +3 more
europepmc   +1 more source

Monochromatic Infinite Sets in Minkowski Planes. [PDF]

open access: yesDiscrete Comput Geom
Frankl N   +4 more
europepmc   +1 more source
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Diagonal Ramsey via effective quasirandomness

Duke Mathematical Journal, 2023
Ashwin Sah
exaly  

Improved bounds for the sunflower lemma

Annals of Mathematics, 2021
Shachar Lovett
exaly  

Using Ultrafilters to Prove Ramsey-type Theorems

American Mathematical Monthly, 2022
David Fernández-Bretón
exaly  

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