Let (X, d) be the space of real numbers with the usual pseudometric. For each positive integer n, let A₁ = (1/n, 1]. Find cl(U{A}), and find U{cl(An)}.
Let (X, d) be the space of real numbers with the usual pseudometric. For each positive integer n, let A₁ = (1/n, 1]. Find cl(U{A}), and find U{cl(An)}.
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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Topology:
Please find some guide in 2nd photo to solve the problem
![DSG LLETS CTS TOBBBBOOSCB
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Good Morning!
next HW is
Spring Tour Itinery.pdf (page 1 of 5)
1.2 #100, 11, 12
(must prove ans
A
Def Let (x,d) be
PEX, and ro. The d-cell
J
Centered at
of radiuse is
S
P
((p;r) = { x: d (p₁x) <r]y.
"B
ex X=IR². If x=(x₁, x₂), y= (y₁ y₁) ((p;r))
le+ d(x,y) = 1x₁-y₁1. Let p= (5₁0) ER².
Study C(p; ¹/2) = ( ((5,0); ¼/₂).
1/1
۱/۰۴
answers)
арт space,
P5.5
GRE vocabulary....pdf
A
X
(5.3, 5) € ((pi/2)
d ((5,0), (5,3,5)) = 5-5.3|=0,3 < 1/2
GRE Math Formu....pdf A
Q Search
S
SO
every
of Suppose (X,d) is a pm space,
SEX and PES Fix r>o.
Show ((pir) meets S in a pt.
Since
PES/
other than
xe5n C(pir) SES S.t. S+P and d (p.5) <
7
PES'
but
x #f
Choose E=r. Then 7 SES S.T. SEP
and d (Ps)<r So SE C(pir)
4.5
and SP. So C(p,r) Meets S
(5.5, -1) (p; ₂)
in aft; other than
·PI
// C (p; ½/2) d ((,0), (5.5,-1) = 15-5.5| = 1/2 + 1/2/5(8,5) ES? no
namely s.
2=(27) €5' ? S'= {(x,y): 0<x<5}
OOO
Q Search
Prop 1.4 Suppose (X₁d) is a pm space and S=X.
PESE
every
CCPr) meet 5 in apt.
pecls
Weekly Writing....pdf
fifififi
[
A
To: Divine Linus
other than
C(pjr) meets S
✩
W- Religion class p....docx A
>
54:43
Greg Mat Vocab....xlsx
go](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79599c56-a340-49a0-b0ff-829b3947a798%2Fad361f1f-6ed8-41fe-96d8-8ea00fd3871e%2F4h6a34e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:DSG LLETS CTS TOBBBBOOSCB
obcollab.com/collab/ui/session/playback
Good Morning!
next HW is
Spring Tour Itinery.pdf (page 1 of 5)
1.2 #100, 11, 12
(must prove ans
A
Def Let (x,d) be
PEX, and ro. The d-cell
J
Centered at
of radiuse is
S
P
((p;r) = { x: d (p₁x) <r]y.
"B
ex X=IR². If x=(x₁, x₂), y= (y₁ y₁) ((p;r))
le+ d(x,y) = 1x₁-y₁1. Let p= (5₁0) ER².
Study C(p; ¹/2) = ( ((5,0); ¼/₂).
1/1
۱/۰۴
answers)
арт space,
P5.5
GRE vocabulary....pdf
A
X
(5.3, 5) € ((pi/2)
d ((5,0), (5,3,5)) = 5-5.3|=0,3 < 1/2
GRE Math Formu....pdf A
Q Search
S
SO
every
of Suppose (X,d) is a pm space,
SEX and PES Fix r>o.
Show ((pir) meets S in a pt.
Since
PES/
other than
xe5n C(pir) SES S.t. S+P and d (p.5) <
7
PES'
but
x #f
Choose E=r. Then 7 SES S.T. SEP
and d (Ps)<r So SE C(pir)
4.5
and SP. So C(p,r) Meets S
(5.5, -1) (p; ₂)
in aft; other than
·PI
// C (p; ½/2) d ((,0), (5.5,-1) = 15-5.5| = 1/2 + 1/2/5(8,5) ES? no
namely s.
2=(27) €5' ? S'= {(x,y): 0<x<5}
OOO
Q Search
Prop 1.4 Suppose (X₁d) is a pm space and S=X.
PESE
every
CCPr) meet 5 in apt.
pecls
Weekly Writing....pdf
fifififi
[
A
To: Divine Linus
other than
C(pjr) meets S
✩
W- Religion class p....docx A
>
54:43
Greg Mat Vocab....xlsx
go
![12. Let (X, d) be the space of real numbers with the usual pseudometric. For each
positive integer n, let A₁ = (1/n, 1]. Find cl(U{A}), and find U{cl(An)}.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79599c56-a340-49a0-b0ff-829b3947a798%2Fad361f1f-6ed8-41fe-96d8-8ea00fd3871e%2Fr9g1a89_processed.jpeg&w=3840&q=75)
Transcribed Image Text:12. Let (X, d) be the space of real numbers with the usual pseudometric. For each
positive integer n, let A₁ = (1/n, 1]. Find cl(U{A}), and find U{cl(An)}.
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