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Problem 1. If SC R is homotopy equivalent to a point, we say S is con- tractible. Which of the following are contractible? Briefly explain your answer (an intuitive explanation is ok). a. Rx I, b. {0, 1, 2} x I. c. 1³ = I x 1 x 1, d. S¹ x {0, 1}.

Problem 1. If SC R is homotopy equivalent to a point, we say S is con- tractible. Which of the following are contractible? Briefly explain your answer (an intuitive explanation is ok). a. Rx I, b. {0, 1, 2} x I. c. 1³ = I x 1 x 1, d. S¹ x {0, 1}.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 1. If SCR" is homotopy equivalent to a point, we say S is con- tractible. Which of the following are contractible? Briefly explain your answer (an intuitive explanation is ok). a. Rx I, b. {0, 1, 2} x I. c. 1³=IxIxI, d. S¹ x {0, 1}.
Transcribed Image Text:Problem 1. If SCR" is homotopy equivalent to a point, we say S is con- tractible. Which of the following are contractible? Briefly explain your answer (an intuitive explanation is ok). a. Rx I, b. {0, 1, 2} x I. c. 1³=IxIxI, d. S¹ x {0, 1}.
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