Q. Let X and Y = {r, s,p,q}, F = Given the mapping f: (X,T) f(0) = r, f(1) = s, f(2) = q, f(3) = p.Then a. f is continuous but not open mapping. b. f is open but not continuous mapping. c. f is continuous and open mapping. d. f is neither continuous nor open mapping.. = {0,1,2,3}, T = {ø, X, {3}, {0,1,3}} {ø,Y, {p}, {r, s, p}} - (Y, F) by 6. %3D %3D

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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Q. Let X
= = {ø, X, {3}, {0,1,3}}
{0,1,2,3}, T
and Y =
{r, s, p, q}, F = {ø,Y, {p}, {r, s, p}}
Given the mapping f : (X,7)
f(0) = r, f(1) = s, f(2) = q, f(3) = p.Then
a. f is continuous but not open mapping.
b. f is open but not continuous mapping.
c. f is continuous and open mapping.
d. f is neither continuous nor open mapping...
-→ (Y, F) by
Transcribed Image Text:Q. Let X = = {ø, X, {3}, {0,1,3}} {0,1,2,3}, T and Y = {r, s, p, q}, F = {ø,Y, {p}, {r, s, p}} Given the mapping f : (X,7) f(0) = r, f(1) = s, f(2) = q, f(3) = p.Then a. f is continuous but not open mapping. b. f is open but not continuous mapping. c. f is continuous and open mapping. d. f is neither continuous nor open mapping... -→ (Y, F) by
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