set of x " Η ②Let x be aset and C-p(x) "The power The collection of all subsets of x is a topology on x called discrete topology >> = {} {A ≤ x /A finite (3) Let x be aset and I be the collection of all subsets of x whose complements are finite together with the empty set then I is a topology on x called cofinite topology 1 or finite complement topology. [U{ACX/A countable} Let x be aset and I be the collection of all subsets of x whose complements are Countable set together with empty set then T is a to topology on x called Countable] topology
set of x " Η ②Let x be aset and C-p(x) "The power The collection of all subsets of x is a topology on x called discrete topology >> = {} {A ≤ x /A finite (3) Let x be aset and I be the collection of all subsets of x whose complements are finite together with the empty set then I is a topology on x called cofinite topology 1 or finite complement topology. [U{ACX/A countable} Let x be aset and I be the collection of all subsets of x whose complements are Countable set together with empty set then T is a to topology on x called Countable] topology
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Prove that
![set of x
"
Η
②Let x be aset and C-p(x) "The power
The collection of all subsets
of x is a topology on x called discrete
topology
>> = {} {A ≤ x /A finite
(3) Let x be aset and I be the collection
of all subsets of x whose complements
are finite together with the empty set
then I is a topology on x called cofinite
topology 1 or finite complement topology.
[U{ACX/A countable}
Let x be aset and I be the collection of
all subsets of x whose complements are
Countable set together with empty set
then T is a to
topology on x called Countable]
topology](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F508cbc6d-5f58-4bf1-bc1c-5d334cfc22e6%2Faf071766-0f4b-436c-a011-4b96551d817c%2F4e9xr9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:set of x
"
Η
②Let x be aset and C-p(x) "The power
The collection of all subsets
of x is a topology on x called discrete
topology
>> = {} {A ≤ x /A finite
(3) Let x be aset and I be the collection
of all subsets of x whose complements
are finite together with the empty set
then I is a topology on x called cofinite
topology 1 or finite complement topology.
[U{ACX/A countable}
Let x be aset and I be the collection of
all subsets of x whose complements are
Countable set together with empty set
then T is a to
topology on x called Countable]
topology
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