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let x be ato Plogy space and Suppoes that anbhd bea basic has been fixed at Cachxe X Prove that Fr=xex/each basicnbhdofx meets both Aand A. ②ASX is open iff A con tians abasic nbhd of each its point If AEN (x) then there exist B EN(X) and BCA ST AEN(y) for each yeB. can an you create a toplogy from nbhd basic with prove.

let x be ato Plogy space and Suppoes that anbhd bea basic has been fixed at Cachxe X Prove that Fr=xex/each basicnbhdofx meets both Aand A. ②ASX is open iff A con tians abasic nbhd of each its point If AEN (x) then there exist B EN(X) and BCA ST AEN(y) for each yeB. can an you create a toplogy from nbhd basic with prove.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
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let x be ato Plogy space and Suppoes that anbhd bea basic has been fixed at Cachxe X Prove that Fr=xex/each basicnbhdofx meets both Aand A. ②ASX is open iff A con tians abasic nbhd of each its point If AEN (x) then there exist B EN(X) and BCA ST AEN(y) for each yeB. can an you create a toplogy from nbhd basic with prove.
Transcribed Image Text:let x be ato Plogy space and Suppoes that anbhd bea basic has been fixed at Cachxe X Prove that Fr=xex/each basicnbhdofx meets both Aand A. ②ASX is open iff A con tians abasic nbhd of each its point If AEN (x) then there exist B EN(X) and BCA ST AEN(y) for each yeB. can an you create a toplogy from nbhd basic with prove.
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