In mathematics, specifically in algebraic topology, the Eilenberg–Zilber theorem is an important result in establishing the link between the homology groups...

athlete J. A. Zilber, mathematician, known for the Eilenberg–Zilber theorem Maurice Zilber (1920–2008), French horse trainer Michael Zilber, Canadian composer...

Stanislaw Ulam Eilenberg–Montgomery fixed point theorem "Samuel Eilenberg - Biography". Maths History. Retrieved 2024-07-26. Samuel Eilenberg at the Mathematics...

topology) Eilenberg–Ganea theorem (homological algebra, algebraic topology) Eilenberg–Zilber theorem (algebraic topology) Euler's polyhedron theorem (polyhedra)...

processes. Eilenberg and MacLane then discovered the theorem to generalize this process. It can be used to prove the Eilenberg–Zilber theorem; this leads...

Blakers–Massey theorem Borsuk–Ulam theorem Brouwer fixed point theorem Cellular approximation theorem Dold–Thom theorem Eilenberg–Ganea theorem Eilenberg–Zilber theorem...

C_{*}(X)\otimes C_{*}(Y).} For singular chains this is the theorem of Eilenberg and Zilber. For cellular chains on CW complexes, it is a straightforward...

chain functor with coefficients in k {\displaystyle k} . By the Eilenberg–Zilber theorem, S ∗ ( B ) {\displaystyle S_{\ast }(B)} has a differential graded...

as of September 2022[update]. The conjecture terminology may persist: theorems often enough may still be referred to as conjectures, using the anachronistic...

the dimension axiom) leads to a generalized cohomology theory. Eilenberg–Zilber theorem elliptic elliptic cohomology. En-algebra equivariant algebraic...

{\displaystyle \Omega X\times \Omega X\rightarrow \Omega X} , and then by the Eilenberg-Zilber multiplication C ∗ ( Ω X ) × C ∗ ( Ω X ) → C ∗ ( Ω X ) {\displaystyle...

of two normal matrices. Eilenberg–Ganea conjecture: a group with cohomological dimension 2 also has a 2-dimensional Eilenberg–MacLane space K ( G , 1...

of sets. Simplicial sets were introduced in 1950 by Samuel Eilenberg and Joseph A. Zilber. Simplicial sets are used to define quasi-categories, a basic...

homotopy types of spaces and homotopy classes of mappings 1950 Samuel Eilenberg–Joe Zilber Simplicial sets as a purely algebraic model of well behaved topological...

org/nlab/show/ETCS. Eilenberg–Moore category Another name for the category of algebras for a given monad. Eilenberg–Zilber category Eilenberg–Zilber category. empty...

2018. Gallier, Jean; Xu, Dianna (2013). A Guide to the Classification Theorem for Compact Surfaces. Springer Science & Business Media. p. 156. ISBN 9783642343643...