Y. Let f be a mapping from X into Y definedby f(a)=4, f(b) = 3, f(c) = 2 and f(d) = 4. Let gbe mapping from X into Y defined by g(a) =1, g(b)=g(c)=3 and g(d) = 4. Thenf and g are not continuousf and g are both continuousf is not continuous and g is continuousf is continuous and g is not continuousLet X = {a, b, c, d,e} and let T = {X, Ø, {a},{a,d}, {a,e}}, then *(X,T) is not connected but it is HausdorffO (X, T) is neither Hausdorff nor connected(X, T) is not Hausdorff but it is connectedO (X,T) is Hausdorff and connectedLet (X,T) and (Y,T1) be two topologicalspaces and let f be :ntinuous mappingof X into Y. *

Name: Y. Let f be a mapping from X into Y definedby f(a)=4, f(b) = 3, f(c)
Uploaded: 2024-03-20T06:38:44.000Z
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Description: Y. Let f be a mapping from X into Y definedby f(a)=4, f(b) = 3, f(c) = 2 and f(d) = 4. Let gbe mapping from X into Y defined by g(a) =1, g(b)=g(c)=3 and g(d) = 4. Thenf and g are not continuousf and g are both continuousf is not continuous and g is

No information is given for topology on Y So i have solved only the middle question

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Let X = {a, b, c, d,e} and let T = {X, Ø, {a}, {a,d}, {a,e}}, then * O (X,T) is not connected but it is Hausdorff O (X, T) is neither Hausdorff nor connected O (X, T) is not Hausdorff but it is connected O (X,T) is Hausdorff and connected