Answered: Show that whether T is a topology on R…

Show that whether T is a topology on R or not? 2) Let f be a function from a set X in to a topological space (Y,T) and T = {ucX, u=f'(v), veT}. Show that T is a topology on X.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.1: Rectangular Coordinate Systems

Problem 8E

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Show that whether T is a topology on R or not?
2) Let f be a function from a set X in to a topological space (Y,T) and
T = {ucX, u=f'(v), veT}. Show that T is a topology on X.

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