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An edition of Centenary of the Borel Conjecture (2020)

Centenary of the Borel Conjecture

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Centenary of the Borel Conjecture
Marion Scheepers, Ondrej Zindu...
Centenary of the Borel Conjecture by Marion Scheepers, Ondrej Zindulka, Marion Scheepers, Ondrej Zindulka
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Last edited by MARC Bot
July 12, 2026 | History
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An edition of Centenary of the Borel Conjecture (2020)

Centenary of the Borel Conjecture

by and

Borel's Conjecture entered the mathematics arena in 1919 as an innocuous remark about sets of real numbers in the context of a new covering property introduced by Émile Borel. In the 100 years since, this conjecture has led to a remarkably rich adventure of discovery in mathematics, producing independent results and the discovery of countable support iterated forcing, developments in infinitary game theory, deep connections with infinitary Ramsey Theory, and significant impact on the study of topological groups and topological covering properties.

Publish Date
Publisher
American Mathematical Society
Language
English
Pages
242

Subjects

Mathematics Set theory Real Numbers Topological groups Mathematical logic and foundations -- Set theory -- Cardinal characteristics of the continuum Mathematical logic and foundations -- Set theory -- Consistency and independence results Mathematical logic and foundations -- Set theory -- Other hypotheses and axioms Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX} -- Topological and differentiable algebraic systems {For topological ring Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX} -- Locally compact abelian groups (LCA groups) -- General properties and Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX} -- Compact groups -- Compact groups General topology {For the topology of manifolds of all dimensions, see 57Nxx} -- Maps and general types of spaces defined by maps -- Special sets defined by functions [See also 26A21] General topology {For the topology of manifolds of all dimensions, see 57Nxx} -- Fairly general properties -- Noncompact covering properties (paracompact, Lindelöf, etc.). General topology {For the topology of manifolds of all dimensions, see 57Nxx} -- Connections with other structures, applications -- Topological groups [See also 22A05] Game theory, economics, social and behavioral sciences -- Game theory -- Games involving topology or set theory
Edition Availability
Cover of: Centenary of the Borel Conjecture
Centenary of the Borel Conjecture
2020, American Mathematical Society
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Book Details

Classifications

Library of Congress
QA248.C357 2020, QA248 .C357 2020

The Physical Object

Pagination
242
Number of pages
242

Edition Identifiers

Open Library
OL34956698M
ISBN 13
9781470450991
LCCN
2019054325
OCLC/WorldCat
1151518175

Work Identifiers

Work ID
OL25902148W

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