Let X = {a, b, c, d} and TX = {ø, X, {b}, {b,c}, {a,b,d}} be a topology on X. Let Y = {1, 2, 3, 4} and TY = {Ø, Y, {3}, {1,2,3}} be a topology on Y. Let f be a mapping from X into Y defined by f(a)=f(b) = 3, f(c) = 2 and f(d) = 1. Let g be mapping from X into Y defined by g(a) = 1, g(b)=g(c)=3 and g(d) = 2. Then * f is continuous and g is not continuous f is not continuous and g is continuous O f and g are not continuous f and g are both continuous

Let X = {a, b, c, d} and TX = {ø, X, {b}, {b,c}, {a,b,d}} be a topology on X. Let Y = {1, 2, 3, 4} and TY = {Ø, Y, {3}, {1,2,3}} be a topology on Y. Let f be a mapping from X into Y defined by f(a)=f(b) = 3, f(c) = 2 and f(d) = 1. Let g be mapping from X into Y defined by g(a) = 1, g(b)=g(c)=3 and g(d) = 2. Then * f is continuous and g is not continuous f is not continuous and g is continuous O f and g are not continuous f and g are both continuous

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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