Let Y be any topological space and y: [0, 1] → Y be a continuous function so thatr(0) = y(1) = xp. Define e: [0,1] → Y by the rule e) = x, for all 0 sjs1.Show that y - ero ~, Y.

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Let Y be any topological space and y: [0, 1] → Y be a continuous function so that r(0) = r(1) = xp. Define e: [0,1] → Y by the rule e) = x, for all 0 sjs1. Show that y- ezo *, Y.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Let Y be any topological space and y: [0, 1] → Y be a continuous function so that
r(0) = y(1) = xp. Define e: [0,1] → Y by the rule e) = x, for all 0 sjs1.
Show that y - ero ~, Y.

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