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

Name: topology {1,2,3, 4}, T = {», X, {4}, {1,2}, {1,2, 4}}Q. Let Xand Y = {
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Description: topology {1,2,3, 4}, T = {», X, {4}, {1,2}, {1,2, 4}}Q. Let Xand 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.Thena. f is a continuous but not open mapping.b. f is an open but not

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 21E

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