Let X = (a, b, c, d) and TX = (Ø, X, (b), {b.c), {a,b,d}) be a topology 3, 4) and TY = (0, 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 3, f(c) = 2 and f(d) = 1. Letg be mapping from X into Y defined by g(a) = 1. g(b)=g(c)=3 and g(d) = 2. Then O fis not continuous andg is continuous O fand g are not continuotis O fand g are both continuous O fis continuous and g is not continuous

Let X = (a, b, c, d) and TX = (Ø, X, (b), {b.c), {a,b,d}) be a topology 3, 4) and TY = (0, 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 3, f(c) = 2 and f(d) = 1. Letg be mapping from X into Y defined by g(a) = 1. g(b)=g(c)=3 and g(d) = 2. Then O fis not continuous andg is continuous O fand g are not continuotis O fand g are both continuous O fis continuous and g is not 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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