Exercises:Mond - Topology - 4/Section B/Question 6

Section B

Question 6

Part A

Let [ilmath]\partial I^2[/ilmath] denote the boundary of the square. Let [ilmath]P\in\text{Int}(I^2)[/ilmath] considered as a subset of [ilmath]\mathbb{R}^2[/ilmath]. Find a retraction, [ilmath]r:(I^2-{P})\rightarrow \partial I^2[/ilmath]