Let (R, T) be the set of real numbers with the cofinite topology. (See Example 2.2.5.) i tud ,asigoloqot (a) Show that any finite subset of R is closed. (b) Give an example of a subset of R that is neither open nor closed in the cofinite topology. alam. bisbno

Let (R, T) be the set of real numbers with the cofinite topology. (See Example 2.2.5.) i tud ,asigoloqot (a) Show that any finite subset of R is closed. (b) Give an example of a subset of R that is neither open nor closed in the cofinite topology. alam. bisbno

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 (R, T) be the set of real numbers with the cofinite topology. (See
Example 2.2.5.)
i tud ,asigoloqot
(a) Show that any finite subset of R is closed.
(b) Give an example of a subset of R that is neither open nor closed in
the cofinite topology.
alam.
bisbno

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