Let d(x,y) = |1/x - 1/yl be a metric on R\{0}XR\{0}. Then the open ball of center 1/2and radius 1/3 is *None of the choicesO 11/6, 2/5[O 16, 6/5[16/5, 6[Let T be the finite closed topology on any set X. Every subset of (X,T) is compact.TrueFalse

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Let d(x,y) = |1/x - 1/yl be a metric on RI(0}XRI(O}. Then the open ball of center 1/2 and radius 1/3 is * None of the choices O 11/6, 2/5[ O 16, 6/5[ 16/5, 6[

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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Question

Let d(x,y) = |1/x - 1/yl be a metric on R\{0}XR\{0}. Then the open ball of center 1/2
and radius 1/3 is *
None of the choices
O 11/6, 2/5[
O 16, 6/5[
16/5, 6[
Let T be the finite closed topology on any set X. Every subset of (X,T) is compact.
True
False

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