= Consider the closed interval (-1, 1] with the subspace topology and the set X = {a,b,c,d) with -1
Posted: Thu May 12, 2022 3:45 pm
= Consider the closed interval (-1, 1] with the subspace topology and the set X = {a,b,c,d) with -1<x<.5 Tx = {X,, {a,b}}. Define the map y: (-1,1] → X by y(x) b.5<x< 1 Prove that y is x=.5 continuous but not a homeomorphism. = с =
Posted: Thu May 12, 2022 3:45 pm
= Consider the closed interval (-1, 1] with the subspace topology and the set X = {a,b,c,d) with -1<x<.5 Tx = {X,, {a,b}}. Define the map y: (-1,1] → X by y(x) b.5<x< 1 Prove that y is x=.5 continuous but not a homeomorphism. = с =