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Let f:XT, → XT, such that f({a}) = {b, c} į Is fa continuous function? i yes,no, or can't you tell? Let g:XT, → Xr,g({b}) = {b, c} i Is ga continuous functionm? i yes, no, or can't you tell?

Let f:XT, → XT, such that f({a}) = {b, c} į Is fa continuous function? i yes,no, or can't you tell? Let g:XT, → Xr,g({b}) = {b, c} i Is ga continuous functionm? i yes, no, or can't you tell?

Advanced Engineering Mathematics
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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Let X={a,b,c} and the next topologies 

 

 T1={X, emptyset, {a}, {a,b}}

T2={X, emptyset, {b}, {a,b}}

Let f:XT, → XT, such that f({a}) = {b, c} į Is f a continuous function? ¿ yes, no, or can't you tell? Let g: Xr, → Xr,g({b}) = {b, c} į Is ga continuous function? ¿ yes, no, or can't you tell?
Transcribed Image Text:Let f:XT, → XT, such that f({a}) = {b, c} į Is f a continuous function? ¿ yes, no, or can't you tell? Let g: Xr, → Xr,g({b}) = {b, c} į Is ga continuous function? ¿ yes, no, or can't you tell?
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