Let X = {a, b,c, d},T= {o, X, {d}, {a,b}, {a, b, d}} and Y = (m,n, p,g},F = {@,Y, {p}, (m,n}, {m,n, p} Given the mapping f: (X,7) (Y, F) by f(a) = m, f(b) = n, f(d) = p, f(c) = q.Then a. f is a continuous but not open mapping. b. f is an open but not continuous mapping. c. f is neither continuous nor open mapping. d. f is a continuous and open mapping.

Let X = {a, b,c, d},T= {o, X, {d}, {a,b}, {a, b, d}} and Y = (m,n, p,g},F = {@,Y, {p}, (m,n}, {m,n, p} Given the mapping f: (X,7) (Y, F) by f(a) = m, f(b) = n, f(d) = p, f(c) = q.Then a. f is a continuous but not open mapping. b. f is an open but not continuous mapping. c. f is neither continuous nor open mapping. d. f is a continuous and open mapping.

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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