In
Property
It follows from Whitehead's Theorem that if a
Example
Define to be the
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weakly contractible — adjective Having all its homotopy groups trivial … Wiktionary
Kuiper's theorem — In mathematics, Kuiper s theorem (after Nicolaas Kuiper) is a result on the topology of operators on an infinite dimensional, complex Hilbert space H. It states that the space GL(H) of invertible bounded endomorphisms H is such that all maps … Wikipedia
List of mathematics articles (W) — NOTOC Wad Wadge hierarchy Wagstaff prime Wald test Wald Wolfowitz runs test Wald s equation Waldhausen category Wall Sun Sun prime Wallenius noncentral hypergeometric distribution Wallis product Wallman compactification Wallpaper group Walrasian… … Wikipedia
Classifying space — In mathematics, specifically in homotopy theory, a classifying space BG of a topological group G is the quotient of a weakly contractible space EG (i.e. a topological space for which all its homotopy groups are trivial) by a free action of G. It… … Wikipedia
Dennis Sullivan — For other uses, see Dennis Sullivan (disambiguation). Dennis Sullivan Born February 12, 1941 … Wikipedia
Sullivan conjecture — In mathematics, Sullivan conjecture can refer to any of several results and conjectures prompted by homotopy theory work of Dennis Sullivan. A basic theme and motivation concerns the fixed point set in group actions of a finite group G. The most… … Wikipedia
classifying space — noun A topological space that is the quotient of a free action (of the specified group) on a weakly contractible space … Wiktionary
Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… … Wikipedia
