the topology 7, ={x,ø.{a},{b,c}}1, = {Y,6, {u}}X = {a,b,c}Y = {u,v} .6. ConsideronandthetopologyDoesonB={X ×Y,6.{(a,u},{(b.u).(c.u),.{(a,u).(a,v)},.{(b,u).(b.v).(c,u).(c.v},(a,u).(b.u),(c.u]a basis for the product topology on X ×Y ?

Answered: Image /qna-images/answer/92948cd8-fc42-4b51-9344-c6cbb31145bc.jpg

Answered: the topology 7, = {X,ø{a},{b,c}} 1; =…

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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Consider the points P=(20,n,21) and Q=(10,0,10). n < 0 y ||PQ|| = /230 If it holds that then it is true that: a) PQ = (–10, –3, –11) b) PQ = (10,3, 11) c) PQ = (10, –3, 11) d) PQ = (-10,3, –11)
u = [-5, –1] v = [9, –7) w = [8, 1] 5u + v – w = | Ex: 6
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the topology 7, = {X,ø{a},{b,c}} 1; = {Y.ø.{u}} B={X ×Y,6.{(a,u} ,{(b,u).(c,u)},{(a,u),(a,v)},{(b,u),(b,v).(c.u).(c,v)},(a,u),(b.u).(c,u X = {a,b,c} Y = {u,v} . 6. Consider on and the topology Does on %3D a basis for the product topology on X ×Y ?