Q4. Let X = {m, n, p, q}, T = {¢, X, {p}, {m, n}, {m, n, p}}and Y = {a, b, c, d}, F = {¢, X, {d}, {a, b}, {a, b, d}}Given the mapping f : (X,1) – (Y, F) by%3Df(m) = a, f(n) = b, f(p) = d, f(q) = c.Is fa bijection?Is fa continuous mapping?Is f an open mapping?Is fa homeomorphism ?What you can say about the topological spaces (X, T) and (Y, F).( Show the details of your answers).

Name: Q4. Let X = {m, n, p, q}, T = {¢, X, {p}, {m, n}, {m, n, p}}and Y = {
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Description: Q4. Let X = {m, n, p, q}, T = {¢, X, {p}, {m, n}, {m, n, p}}and Y = {a, b, c, d}, F = {¢, X, {d}, {a, b}, {a, b, d}}Given the mapping f : (X,1) – (Y, F) by%3Df(m) = a, f(n) = b, f(p) = d, f(q) = c.Is fa bijection?Is fa continuous mapping?Is f an ope

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Q4. Let X = {m, n, p, q}, T = {¢, X, {p}, {m, n}, {m, n, p}} and Y = {a, b, c, d}, F = {ø, X, {d}, {a, b}, {a, b, d}} Given the mapping f : (X,T) – (Y, F) by %3D f(m) = a, f(n) = b, f(p) = d, f(q) = c. Is fa bijection? Is fa continuous mapping? Is f an open mapping?

Q4. Let X = {m, n, p, q}, T = {¢, X, {p}, {m, n}, {m, n, p}} and Y = {a, b, c, d}, F = {ø, X, {d}, {a, b}, {a, b, d}} Given the mapping f : (X,T) – (Y, F) by %3D f(m) = a, f(n) = b, f(p) = d, f(q) = c. Is fa bijection? Is fa continuous mapping? Is f an 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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Q4. Let X = {m, n, p, q}, T = {¢, X, {p}, {m, n}, {m, n, p}}
and Y = {a, b, c, d}, F = {¢, X, {d}, {a, b}, {a, b, d}}
Given the mapping f : (X,1) – (Y, F) by
%3D
f(m) = a, f(n) = b, f(p) = d, f(q) = c.
Is fa bijection?
Is fa continuous mapping?
Is f an open mapping?
Is fa homeomorphism ?
What you can say about the topological spaces (X, T) and (Y, F).
( Show the details of your answers).

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