# Algebraic Topology - Important Theorems in Algebraic Topology

Important Theorems in Algebraic Topology

• Borsuk–Ulam theorem
• Brouwer fixed point theorem
• Cellular approximation theorem
• Eilenberg–Zilber theorem
• Freudenthal suspension theorem
• Hurewicz theorem
• Künneth theorem
• Poincaré duality theorem
• Universal coefficient theorem
• Van Kampen's theorem
• Generalized van Kampen's theorems
• Higher homotopy, generalized van Kampen's theorem

### Other articles related to "theorems, theorem":

Jacques Bouveresse - Works - Incompleteness and Philosophy
... Jacques Bouveresse is interested in the incompleteness theorems of Kurt Gödel and their philosophical consequences ... Prodiges et vertiges de l'analogie, the use made of these theorems by Régis Debray ... than to overwhelm a readership which lacks the training necessary to comprehend such complex theorems ...
Ratner's Theorems
... In mathematics, Ratner's theorems are a group of major theorems in ergodic theory concerning unipotent flows on homogeneous spaces proved by Marina Ratner around 1990 ... The theorems grew out of Ratner's earlier work on horocycle flows ... Ratner's theorems have guided key advances in the understanding of the dynamics of unipotent flows ...
Brauer's Three Main Theorems
... Brauer's main theorems are three theorems in representation theory of finite groups linking the blocks of a finite group (in characteristic p) with those of its p-local ... The second and third main theorems allow refinements of orthogonality relations for ordinary characters which may be applied in finite group theory ... All three main theorems are stated in terms of the Brauer correspondence ...
Deviant Logic
... the set of theorems generated is different from the set of theorems generated by classical logic ... The set of theorems of a deviant logic can differ in any possible way from classical logic's set of theorems as a proper subset, superset, or fully exclusive set ... Under this system, any theorem necessarily dependent on classical logic's principle of bivalence would fail to be valid ...
List Of Things Named After Alfred Tarski - Theorems
... Knaster–Tarski theorem (sometimes referred to as Tarski's fixed point theorem) Tarski's undefinability theorem Tarski–Seidenberg theorem Some fixed point theorems, usually variants ... Tarski's theorem ...

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I have no scheme about it,—no designs on men at all; and, if I had, my mode would be to tempt them with the fruit, and not with the manure. To what end do I lead a simple life at all, pray? That I may teach others to simplify their lives?—and so all our lives be simplified merely, like an algebraic formula? Or not, rather, that I may make use of the ground I have cleared, to live more worthily and profitably?
Henry David Thoreau (1817–1862)

Ideals possess the strange quality that if they were completely realized they would turn into nonsense. One could easily follow a commandment such as “Thou shalt not kill” to the point of dying of starvation; and I might establish the formula that for the proper functioning of the mesh of our ideals, as in the case of a strainer, the holes are just as important as the mesh.
Robert Musil (1880–1942)