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...

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

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

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...

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

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...

  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...

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...

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

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

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

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

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

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

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

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

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...

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

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

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...

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

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

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...

first classification theorem for persistent homology appeared in 1994 via Barannikov's canonical forms. The classification theorem interpreting persistence...

the caloric component of a fluid's internal energy (the equipartition theorem). This motion is named after the Scottish botanist Robert Brown, who first...

Aldous, Probability Approximations via the Poisson Clumping Heuristic; AD Barbour, L. Holst, S. Janson, Poisson Approximation}. The Annals of Probability...

equations are often partial differential equations (PDEs). To explain the approximation of this process, FEM is commonly introduced as a special case of the...