Need assistance,can you imagine a continuously deformation between X and Y?

[kakarotyjn]

how can X be continuously deformed to Y?

 

[Bacle]

Yes:
Let X be a ball , i.e., the interior of a circle (either a s astand-alone space, or

embedded in R^n), and let Y be, say, the center of the ball . Can you see how

to deform X into Y continuously.?. Can you see why, e.g., a circle could not be

deformed to a point (i.e., to a 1-pt. subspace of the circle.)?