Let X = (a,b, c, d},T = {ø, X, {d}, (a,b}, {a,b, d}} and Y (m,n.P, q}, F= {¢,Y, {p}. {m,n}, {m,n.p}} Given the mapping f: (X,r) -→ (Y, F) by 7(a)= m, f(b)= R, f(d) = p. f(e)-4 Then a. f is a...


Let X = (a,b, c, d},T = {ø, X, {d}, (a,b}, {a,b, d}}<br>and Y (m,n.P, q}, F= {¢,Y, {p}. {m,n}, {m,n.p}}<br>Given the mapping f: (X,r) -→ (Y, F) by<br>7(a)= m, f(b)= R, f(d) = p. f(e)-4 Then<br>a. f is a continuous but not open mapping.<br>b. f is an open but not continuous mapping.<br>c. /is neither continuous nor open mapping.<br>d. f is a continuous and open mapping.<br>

Extracted text: Let X = (a,b, c, d},T = {ø, X, {d}, (a,b}, {a,b, d}} and Y (m,n.P, q}, F= {¢,Y, {p}. {m,n}, {m,n.p}} Given the mapping f: (X,r) -→ (Y, F) by 7(a)= m, f(b)= R, f(d) = p. f(e)-4 Then a. f is a continuous but not open mapping. b. f is an open but not continuous mapping. c. /is neither continuous nor open mapping. d. f is a continuous and open mapping.

Jun 05, 2022
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