1) Let X= {a, b, c} List the open sets in the following topologies on X: (i) The discrete topology; complement topology; (iv) The particular point topology with p = a; topology with p= a. (ii) the indiscrete topology; (iii) the finite and (v) the excluded point

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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let x=

(a, b) = {x E R|a < x < b}; [a, b) = {x E R|a < x < b}; (a, b] = {x E R
|a < x < b} and [a, b] = {x E R|a <x< }
1) Let X= {a, b, c} List the open sets in the following topologies on X:
(i) The discrete topology;
complement topology;
(iv) The particular point topology with p = a; and (v) the excluded point
topology with p = a.
(ii) the indiscrete topology;
(iii) the finite
Transcribed Image Text:(a, b) = {x E R|a < x < b}; [a, b) = {x E R|a < x < b}; (a, b] = {x E R |a < x < b} and [a, b] = {x E R|a <x< } 1) Let X= {a, b, c} List the open sets in the following topologies on X: (i) The discrete topology; complement topology; (iv) The particular point topology with p = a; and (v) the excluded point topology with p = a. (ii) the indiscrete topology; (iii) the finite
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