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If every real valued continuous function on $X$ is uniformly continuous is $X$ is compact? Moreover if $X$ has a finite number of isolated points, is $X$ compact now?
TheI think that the answer to the first question is false on considering $X=\mathbb N$. But I don't know how to go with the second one? Any help.
A question from my textbook
If every real valued continuous function on $X$ is uniformly continuous is $X$ is compact? Moreover if $X$ has a finite number of isolated points, is $X$ compact now?
The answer to the first question is false on considering $X=\mathbb N$. But I don't know how to go with the second one? Any help.
If every real valued continuous function on $X$ is uniformly continuous is $X$ is compact? Moreover if $X$ has a finite number of isolated points, is $X$ compact now?
I think that the answer to the first question is false on considering $X=\mathbb N$. But I don't know how to go with the second one? Any help.
A question from my textbook
If every real valued continuous function on $X$ is uniformly continuous is $X$ is compact? Moreover if $X$ has a finite number of isolated points ,is is $X$ compact now?
The answer to the first question is false on considering $X=\mathbb N$.But But I dontdon't know how to go with the second one?Any Any help.
A question from my textbook
If every real valued continuous function on $X$ is uniformly continuous is $X$ is compact? Moreover if $X$ has a finite number of isolated points ,is $X$ compact now?
The answer to the first question is false on considering $X=\mathbb N$.But I dont know how to go with the second one?Any help.
A question from my textbook
If every real valued continuous function on $X$ is uniformly continuous is $X$ is compact? Moreover if $X$ has a finite number of isolated points, is $X$ compact now?
The answer to the first question is false on considering $X=\mathbb N$. But I don't know how to go with the second one? Any help.
A question from my textbook
If every real valued continuous function on $X$ is uniformly continuous is $X$ is compact? Moreover if $X$ has a finite number of isolated points ,is $X$ compact now?
The answer to the first question is false on considering $X=\mathbb N$.But I dont know how to go with the second one?Any help.
