### Some articles on *contractible*:

Classifying Space - Motivation

... another way to specify the condition on X is that the universal cover Y of X is

... another way to specify the condition on X is that the universal cover Y of X is

**contractible**... higher homotopy groups vanish the fundamental idea is, given G, to find such a**contractible**space Y on which G acts freely ... remark that an infinite cyclic group C acts freely on the real line R, which is**contractible**...CAT(k) Space - Properties of CAT(

... The d-balls in X of radius less than Dk are

*k*) Spaces... The d-balls in X of radius less than Dk are

**contractible**... these properties that, for k ≤ 0, the universal cover of every CAT(k) space is**contractible**in particular, the higher homotopy groups of such a space are trivial ... example of the n-sphere Sn shows, there is, in general, no hope for a CAT(k) space to be**contractible**if k is strictly positive ...Locally

... A topological space is locally

**Contractible**Spaces... A topological space is locally

**contractible**if every point has a local base of**contractible**neighborhoods ...**Contractible**spaces are not necessarily locally**contractible**nor vice-versa ... For example, the comb space is**contractible**but not locally**contractible**(if it were, it would be locally connected which it is not) ...Projective Unitary Group - The Topology of PU(

... This means that U(H) is weakly

*H*) - PU(*H*) Is A Classifying Space For Circle Bundles... This means that U(H) is weakly

**contractible**, and an additional argument shows that it is actually**contractible**... finite-dimensional cousins U(n) and their limit U(∞) under the inclusion maps which are not**contractible**admitting homotopically nontrivial continuous mappings onto U(1) given by the determinant of matrices ... Thus U is a**contractible**space with a U(1) action, which identifies it as EU(1) and the space of U(1) orbits as BU(1), the classifying space for U(1) ...**Contractible**Space - Examples and Counterexamples

... Any Euclidean space is

**contractible**, as is any star domain on a Euclidean space ... The Whitehead manifold is

**contractible**... Spheres of any finite dimension are not

**contractible**...

Main Site Subjects

Related Subjects

Related Phrases

Related Words