Q₂/ (a) Let X={1, 4, 5,7, 8, 9) and o= {{1,4),(4,7, 8}}, show that whether o is:(1) a subbase for a topology on X or not. (2) a base for a topology on X or not.(b) Let X=(2,3,5,8) with indiscrete topology and Y=(a, b,c} with discrete, let f be aconstant map from a space X into a space Y show that whether f is:(1) continuous map or not. (2) open map or not. (3) closed map or not.

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Answered: Q₂/(a) Let X=(1, 4, 5,7, 8, 9) and o=…

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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Q₂/(a) Let X=(1, 4, 5,7, 8, 9) and o= {(1,4),(4,7, 8}}, show that whether o is: (1) a subbase for a topology on X or not. (2) a base for a topology on X or not.