In algebraic topology, the cellular approximation theorem states that a map between CW-complexes can always be taken to be of a specific type. Concretely...

periodicity theorem (homotopy theory) Brown's representability theorem (homotopy theory) Cellular approximation theorem (algebraic topology) Dold–Thom theorem (algebraic...

statements remain true. Cellular approximation theorem Singular homology and cohomology of CW complexes is readily computable via cellular homology. Moreover...

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

algebraic topology, such as the Seifert–van Kampen theorem or the cellular approximation theorem. The circle (also known as the 1-sphere) S 1 = { ( x...

then πi(Sn) = 0. This can be shown as a consequence of the cellular approximation theorem. All the interesting cases of homotopy groups of spheres involve...

generalized for any continuous functions via the approximation theorem. Brouwer's fixpoint theorem treats the case where f : D n → D n {\displaystyle...

  The cellular approximation theorem says that every map between CW complexes is homotopic to a cellular map between them. 3.  The cellular homology is the...

Turing reduction Savitch's theorem Space hierarchy theorem Speed Prior Speedup theorem Subquadratic time Time hierarchy theorem See the list of complexity...

trigonometric polynomial Bernstein's theorem (approximation theory) — a converse to Jackson's inequality Fejér's theorem — Cesàro means of partial sums of...

complex Polytope Triangulation Barycentric subdivision Simplicial approximation theorem Abstract simplicial complex Simplicial set Simplicial category Chain...

close to the initial state. Aleksandr Lyapunov developed many important approximation methods. His methods, which he developed in 1899, make it possible to...

and spirals that rotate while remaining the same size and shape. An approximation to the curve-shortening flow can be computed numerically, by approximating...

different approximation ratios) and to the weighted case. Several divide-and-conquer algorithms are based on a certain geometric separator theorem. A geometric...

equivalence are the same thing. Another important result is the approximation theorem. First, the homotopy category of spaces is the category where an...

computation, a computer's instruction set, a programming language, or a cellular automaton) is said to be Turing-complete or computationally universal if...

approximation to the largest planar subgraph, an important subproblem in planarization. As an approximation algorithm, this method has approximation ratio...

Fermat's Last Theorem, for which other geometrical notions are just as crucial. There is also the closely linked area of Diophantine approximations: given a...

compression. This was the quantum analog of Shannon's noiseless coding theorem, and it helped to start the field known as quantum information theory....

Friedman test Friendship paradox Frisch–Waugh–Lovell theorem Fully crossed design Function approximation Functional boxplot Functional data analysis Funnel...

and minimize tail risk and portfolio-optimization applications. Sklar's theorem states that any multivariate joint distribution can be written in terms...

final result, the approximation of π. There are two important considerations: If the points are not uniformly distributed, the approximation will be poor....

the wavelength of the scattered light there are simple and accurate approximations that suffice to describe the behavior of the system. But for objects...

tree cellular automaton centroid certificate chain (order theory) chaining (algorithm) child Chinese postman problem Chinese remainder theorem Christofides...

Perelman announced his proof of the Poincaré conjecture. The side-approximation theorem was considered by Bing to be one of his key discoveries. It has...

part of psychology, as shown in the work: "Sociodynamics: an integrative theorem of power, authority, interfluence and love". In the 1990s, social dynamics...

two can be reconciled in practice, with majority rule being a valid approximation to the utilitarian rule whenever voters share similarly-strong preferences...

for a fixed value of N {\displaystyle N} . However, the approximation by the central limit theorem may not be accurate if x {\displaystyle x} is far from...

analysis, and in game theory, introducing or codifying concepts including cellular automata, the universal constructor and the digital computer. His analysis...

mathematically well-founded, but they inevitably make assumptions and approximations whose impact needs to be carefully assessed. Furthermore, the wider...