Let (X, Tx), (Y, Ty) represents topological spaces such that X = {a,b,c,d}, Tx = {X. Ø, {a}, {a, b}, {a,b,c}}, Y = {x, y, z). defined by that the function f:X →Y Prove f = {(a, y), (b, y), (c, w), (d, z)} is continuous

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Let (X, Tx), (Y, Ty) represents topological spaces such that
X = {a,b,c,d},
Tx = {X. Ø, {a}, {a,b}, {a,b,c}}, Y = {x, y, z).
f:X → Y
defined by
Prove
that the function
f = {(a, y), (b, y), (c, w), (d, z)} is continuous
Transcribed Image Text:Let (X, Tx), (Y, Ty) represents topological spaces such that X = {a,b,c,d}, Tx = {X. Ø, {a}, {a,b}, {a,b,c}}, Y = {x, y, z). f:X → Y defined by Prove that the function f = {(a, y), (b, y), (c, w), (d, z)} is continuous
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