Mathematics Homework Solutions
Problem
#87158

sierpinski space is contractible

Let X be Sierpinski space: X={x,y} with topology {X,empty set, {x}} .
prove that X is contractible.


Solution Summary

This solution is comprised of a detailed explanation to prove that X is contractible.

Solution
What is this?
By OTA - Overall OTA Rating
Purchase Cost Now
$2.19 CAD (was ~$3.99)
Included in Download
  • Plain text response
$2.19 Instant Download
Add to Cart
Why you can trust BrainMass.com
  • Your Information is Secure
  • Best Online Academic Help Service
  • Students find real academic Success
Related Solutions
  • sierpinski space is contractible - Let X be Sierpinski space: X={x,y} with topology {X,empty set, {x}} . prove that X is contractible.
  • Contractible spaces - (See attached file for full problem description with all symbols) --- Let X be a contractible space: a) Show that X is path connected b) Show that any two continuous maps where Y is any topo ...
  • Nullhomotopic Mappings and Contractible Spaces - I am having problems proving this fact. A space X is contractible if and only if every map f:X to Y (Y is arbitrary) is nullhomotopic. Similarly show X is contractible iff ever map f:Y to X is nullh ...
  • Contractible Spaces : Homotopy Type - How can I show that the two contractible spaces have same homotopy type? keywords: homotopic
  • Metric space proofs - This problem is from Metric Space. Please give a formal proof based on the reference provided. Given a metric space (X,p), prove that...
Browse