Y = (X ∪ I)/{x0 ~ 0} (disjoint union) xo - base point in X(adsbygoogle = window.adsbygoogle || []).push({});

I am trying to show that X is a deformation retract of Y.

I understand I need to maps f:X -> Y and g:Y -> X and show homotopic equivalence

Where f is the inclusion map, is the identity ok for f?

i.e f:X->Y , x in X -> x in Y

What is appropriate for g? Is the idea to map all of I in Y to x0 in X?

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# Deformation retract

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