Let X={a,b,c} and Y={1,2,3} and t={Y,0,{1,2}}. The function f={(a,1),(b,3),(c,2)}. Then the topology L induced by t and f is given by A) L={X,0,{a,c}} B) L={X,0,{a,b}} C)L={X,0,{a}} D) L={X,¤}

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...
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Let X={a,b,c} and Y={1,2,3}
and t={Y,0,{1,2}}. The
function f={(a,1),(b,3),(c,2)}.
Then the topology L induced
by t and f is given by
A) L={X,0,{a,c}}
B) L={X,0,{a,b}}
C) L={X,0{a}}
D) L={X,¤}
A
В
C
Transcribed Image Text:Let X={a,b,c} and Y={1,2,3} and t={Y,0,{1,2}}. The function f={(a,1),(b,3),(c,2)}. Then the topology L induced by t and f is given by A) L={X,0,{a,c}} B) L={X,0,{a,b}} C) L={X,0{a}} D) L={X,¤} A В C
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