let x be a set and {TiliEI} be a collectionoftopologies on x. show that the intersectionn Ti is a topology on x but the Union U TiLEI¿EIis not a topology on x.

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Answered: let x be a set and {TiliEI} be a…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 30E: Suppose thatis an onto mapping from to. Prove that if ℒ, is a partition of, then ℒ, is a partition...

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let x be a set and {TiliEI} be a collection of topologies on x. show that the intersection n Ti is a topology on x but the union U Ti ¿EI LEI is not a topology on x.