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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e50af85-3441-41c3-afc4-ed0f52956abb%2F93d4a21b-d1f7-4e4f-9844-e58c71e2f6d4%2F82guiyi_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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