particularly in homological algebra and algebraic topology, the Eilenberg–Ganea theorem states for every finitely generated group G with certain conditions...
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ISBN 0-12-234001-9. Eilenberg, Samuel (1976). Automata, Languages and Machines, Volume B. Academic Press. ISBN 0-12-234002-7. Eilenberg, Samuel; Ganea, Tudor (1957)...
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The Eilenberg–Ganea conjecture is a claim in algebraic topology. It was formulated by Samuel Eilenberg and Tudor Ganea in 1957, in a short, but influential...
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1957, Ganea published in the Annals of Mathematics a short, yet influential paper with Samuel Eilenberg, in which the Eilenberg–Ganea theorem was proved...
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Algebraic topology (section Important theorems)
Blakers–Massey theorem Borsuk–Ulam theorem Brouwer fixed point theorem Cellular approximation theorem Dold–Thom theorem Eilenberg–Ganea theorem Eilenberg–Zilber...
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topology) Eilenberg–Ganea theorem (homological algebra, algebraic topology) Eilenberg–Zilber theorem (algebraic topology) Euler's polyhedron theorem (polyhedra)...
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conjecture to start with) Doomsday conjecture Euler's sum of powers conjecture Ganea conjecture Generalized Smith conjecture Hauptvermutung Hedetniemi's conjecture...
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{\displaystyle {\hat {\mathbb {Z} }}} and so cohomological dimension 1. Eilenberg−Ganea conjecture Group cohomology Global dimension Gille & Szamuely (2006)...
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ultra-intense, high frequency laser fields. Tudor Ganea: discovered the Eilenberg−Ganea conjecture. Billy Gladstone: among his inventions is the "Ludwig Gladstone...
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of two normal matrices. Eilenberg–Ganea conjecture: a group with cohomological dimension 2 also has a 2-dimensional Eilenberg–MacLane space K ( G , 1...
195 KB (20,026 words) - 13:12, 7 May 2025
counter-example to either the Whitehead asphericity conjecture or to the Eilenberg−Ganea conjecture, thus showing that at least one of these conjectures must...
17 KB (1,761 words) - 08:19, 9 February 2024