Verify that the relation "... is tangent to ... at a" is an equivalence relation on the functions which map neighbourhoods of the point a in V into W. (Recall that an equivalence relation "" on a set...


Verify that the relation

Extracted text: Verify that the relation "... is tangent to ... at a" is an equivalence relation on the functions which map neighbourhoods of the point a in V into W. (Recall that an equivalence relation "" on a set S is a relation such that for all x, y and z in S (i) x ~ x (ii) x ~ y = y ~x (iii) x ~ y and y ~ z = x ~ z.

Jun 04, 2022
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