Relative interior

From formulasearchengine
Revision as of 14:31, 31 August 2013 by en>Rjwilmsi (Citation parameter fixes, using AWB (9458))
Jump to navigation Jump to search

In mathematics, a topological space is said to be weakly contractible if all of its homotopy groups are trivial.

Property

It follows from Whitehead's Theorem that if a CW-complex is weakly contractible then it is contractible.

Example

Define S to be the inductive limit of the spheres Sn,n1. Then this space is weakly contractible. Since S is moreover a CW-complex, it is also contractible. See Contractibility of unit sphere in Hilbert space for more.

References

  • Other Sports Official Kull from Drumheller, has hobbies such as telescopes, property developers in singapore and crocheting. Identified some interesting places having spent 4 months at Saloum Delta.

    my web-site http://himerka.com/


Template:Topology-stub