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Q. Let X = {1,2, 3, 4},T = {ø, X, {4},{1,2}, {1,2, 4}} and Y = {r, s, p, q}, F = {ó,Y, {p}, {r, s}, {r, s, p}} Given the mapping f: (X,T) - (Y, F) by /(1) = r, f(2) = s, f(3) = q, f(4) = p.Then a. f is a continuous but not open mapping. b. f is an open but not continuous mapping. c. f is a continuous and open mapping. d. f is neither continuous nor open mapping.. a O b d

Q. Let X = {1,2, 3, 4},T = {ø, X, {4},{1,2}, {1,2, 4}} and Y = {r, s, p, q}, F = {ó,Y, {p}, {r, s}, {r, s, p}} Given the mapping f: (X,T) - (Y, F) by /(1) = r, f(2) = s, f(3) = q, f(4) = p.Then a. f is a continuous but not open mapping. b. f is an open but not continuous mapping. c. f is a continuous and open mapping. d. f is neither continuous nor open mapping.. a O b d

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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{1,2,3, 4}, T = {», X, {4}, {1,2}, {1,2, 4}} Q. Let X and Y = {r, s, p, q}, F = {ø,Y, {p}, {r, s}, {r, s, p}} Given the mapping f: (X,T) /(1) = r, f(2) = s, f(3) = q, f(4) = p.Then a. f is a continuous but not open mapping. b. f is an open but not continuous mapping. c. f is a continuous and open mapping. d. f is neither continuous nor open mapping.. = (Y, F) by - |3D a O b C O d
Transcribed Image Text:{1,2,3, 4}, T = {», X, {4}, {1,2}, {1,2, 4}} Q. Let X and Y = {r, s, p, q}, F = {ø,Y, {p}, {r, s}, {r, s, p}} Given the mapping f: (X,T) /(1) = r, f(2) = s, f(3) = q, f(4) = p.Then a. f is a continuous but not open mapping. b. f is an open but not continuous mapping. c. f is a continuous and open mapping. d. f is neither continuous nor open mapping.. = (Y, F) by - |3D a O b C O d
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