The first omega alephs: from simplices to trees of trees to higher walks

DOI10.1016/j.aim.2021.108083zbMath1486.18019arXiv2008.03386OpenAlexW3214495158MaRDI QIDQ2054254

J. Bergfalk

Publication date: 1 December 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.03386

zbMATH Keywords

Čech cohomologysimplicial complexcohomological dimensioncharacterizing cardinalscoherent Aronszajn treehigher walkstail-acyclicwalks on the ordinals

Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20) Other combinatorial set theory (03E05)

Related Items

Simultaneously vanishing higher derived limits without large cardinals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positional graphs and conditional structure of weakly null sequences
• Combinatorial set theory: Partition relations for cardinals
• Partitioning pairs of countable ordinals
• On the difference between cohomological dimension and homological dimension
• Non-measurability properties of interpolation vector spaces
• The first derived limit and compactly \(F_\sigma\) sets
• Some partitions of three-dimensional combinatorial cubes
• Partitions of vector spaces
• Homological dimension theory of small categories
• Keisler's order has infinitely many classes
• Walks on ordinals and their characteristics
• A solution to Dilworth's congruence lattice problem
• An infinite color analogue of Rado's theorem
• The global dimension of Boolean rings
• Rings with several objects
• Les foncteurs dérivés de lim et leurs applications en théorie des modules
• Big projective modules are free
• SQUARES, SCALES AND STATIONARY REFLECTION
• Strong homology, derived limits, and set theory
• Coherent Sequences
• Strong Homology is Not Additive
• Strong Homology and the Proper Forcing Axiom
• On the existence of atomic models
• The Cohomological Dimension of a Directed Set
• KNIGHT'S MODEL, ITS AUTOMORPHISM GROUP, AND CHARACTERIZING THE UNCOUNTABLE CARDINALS
• The subscript of ℵ_{𝑛} ,projective dimension, and the vanishing of lim_{←}⁽ⁿ⁾
• Avoidable algebraic subsets of Euclidean space
• Foundations of relative homological algebra
• Free trees and the optimal bound in Wehrung's theorem
• Global Dimension of Valuation Rings
• Homological Dimension and the Continuum Hypothesis
• The fine structure of the constructible hierarchy
• DISJOINT AMALGAMATION IN LOCALLY FINITE AEC
• Sur quelques propositions concernant la puissance du continu
• Sur une caractérisation des alephs
• A Characterization of Alephs