Example:Continuous maps contracting something to a point

Stub grade: A**

This page is a stub

This page is a stub, so it contains little or minimal information and is on a to-do list for being expanded.The message provided is:

Link to this page! Then demote

• Finish off before demoting Alec (talk) 14:35, 23 February 2017 (UTC)

Example

[ilmath](X,\mathcal{ J })[/ilmath] [ilmath](Y,\mathcal{ K })[/ilmath]
The spaces in play

Let [ilmath](X,\mathcal{ J })[/ilmath] and [ilmath](Y,\mathcal{ K })[/ilmath] be topological spaces which are subspaces of [ilmath]\mathbb{R}^2[/ilmath] as shown on the right. Then we claim:

• there is a continuous mapping, [ilmath]f:X\rightarrow Y[/ilmath], that is also surjective.