Question 2. Letr be the class of subsets of R consisting of R, ¢ and all open infinite intervals E, (a, ) with a eR. Show that r is a topology on R. Question 3. Let r, and , be two topologies on X such that , St,. Construct a space on which a 7,-limit point is not a r;-limit point of a subset Aof X.

Question 2. Letr be the class of subsets of R consisting of R, ¢ and all open infinite intervals E, (a, ) with a eR. Show that r is a topology on R. Question 3. Let r, and , be two topologies on X such that , St,. Construct a space on which a 7,-limit point is not a r;-limit point of a subset Aof X.

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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