Suppose that functions digih. domain that and Jrg we have continuous. i with the some codomain such that gth and h~i where denotes the homotopy relation. Do we have fri? (Briefly explain)
Suppose that functions digih. domain that and Jrg we have continuous. i with the some codomain such that gth and h~i where denotes the homotopy relation. Do we have fri? (Briefly explain)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![Suppose that we have continuous functions \( f, g, h, i \) with the same domain and codomain such that
\[ f \simeq g \simeq h \text{ and } h \simeq i \]
where \(\simeq\) denotes the homotopy relation. Do we have \( f \simeq i \)?
(Briefly explain.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7dbb4ae4-0d65-4baa-9481-63f79be91eca%2F12ee5d16-306a-4441-9cdd-2a6d97da58e6%2Fn0k599e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that we have continuous functions \( f, g, h, i \) with the same domain and codomain such that
\[ f \simeq g \simeq h \text{ and } h \simeq i \]
where \(\simeq\) denotes the homotopy relation. Do we have \( f \simeq i \)?
(Briefly explain.)
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