Problem 13. Give an example of two subsets of R2 that are homotopy equivalent but not homeomorphic. (In this problem, an informal description of the sets or a picture, is ok.)oleviupo na at odiodw yee S vip to the ot to nosimob tiilqxo me ovignoitalot oonoleviupo na esaslo 0 < bas 0 <3 li vino bus lig sa

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
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Problem 13.
Give an example of two subsets of R2 that are
homotopy equivalent but not homeomorphic. (In this problem, an informal
description of the sets or a picturc, is ok.)oleviupo na at odiodw yea S
laviuo to the ort to noisqimeob tioilqxo me ovignoitslor ooroleriupo na
13 elo
.0< bms 0<xli vino bus lig sa
|| = |x|li vlno bas li ysd
S=y-xli vlno bas li yo
adt lo doss to samo de lo 19daun sdt evi Yaying 8hTmeldor
to toadna s as does gribusgerlodure garwollot
.B
d
40
Pro
diaq ton at doidw 2 to toedure s lo siqmsxs as svid (alog 8 moldor1
a guiar ton yllantot aid ovig of noy taw I tibor lll 107) batamo
(.noitqimesb Isurrotai 10 utiq
+x: anoitount gniwollot silt to dans to ung ald
in won nislipes van hour
abad ()
Transcribed Image Text:Problem 13. Give an example of two subsets of R2 that are homotopy equivalent but not homeomorphic. (In this problem, an informal description of the sets or a picturc, is ok.)oleviupo na at odiodw yea S laviuo to the ort to noisqimeob tioilqxo me ovignoitslor ooroleriupo na 13 elo .0< bms 0<xli vino bus lig sa || = |x|li vlno bas li ysd S=y-xli vlno bas li yo adt lo doss to samo de lo 19daun sdt evi Yaying 8hTmeldor to toadna s as does gribusgerlodure garwollot .B d 40 Pro diaq ton at doidw 2 to toedure s lo siqmsxs as svid (alog 8 moldor1 a guiar ton yllantot aid ovig of noy taw I tibor lll 107) batamo (.noitqimesb Isurrotai 10 utiq +x: anoitount gniwollot silt to dans to ung ald in won nislipes van hour abad ()
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