Let X = {a, b, c, d} and T = {X, 0, {a,b}, {c,d}}, then * An open proper subset of X cannot be clopen An open proper subset of X may be clopen and may be not. None of the choices O Every open subset of X is clopen оо

Let X = {a, b, c, d} and T = {X, 0, {a,b}, {c,d}}, then * An open proper subset of X cannot be clopen An open proper subset of X may be clopen and may be not. None of the choices O Every open subset of X is clopen оо

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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Let X = {a, b, c, d} and T = { X, , {a,b}, {c,d}},
then *
An open proper subset of X cannot be
clopen
An open proper subset of X may be clopen
and may be not.
None of the choices
Every open subset of X is clopen
Let X = R and B = { ]a,b]/ a, beR, a<b} be a
basis for a topology T on X. Then la,b[ is *
clopen
open but not closed
closed but not open
neither open nor closed
11:39 AM
1 Classroom .l
10:34 AM
@ 78%
a docs.google.com
Let X = {1, 2.3 4 5 6) and let T1= (X, d. {3}.

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