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 Curious
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  • 0 posts edited
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  • 19 votes cast
Jul
5
accepted Positive continuous function from a Non-negative continuous function on a Tychonoff space
Jul
2
awarded  Curious
May
28
asked Positive continuous function from a Non-negative continuous function on a Tychonoff space
Jan
31
awarded  Benefactor
Jan
25
comment Continuous extension of positive functions on a C-embedded set.
Thank you Fischer...
Jan
25
accepted Continuous extension of positive functions on a C-embedded set.
Jan
24
comment Continuous extension of positive functions on a C-embedded set.
A subset $A$ of a topological space $X$ is called C-embedded in $X$ if every real-valued continuous function on $A$ can be extended to a continuous function on $X$.
Jan
23
awarded  Promoter
Jan
21
awarded  Tumbleweed
Jan
15
accepted Discrete family of compact subsets in a metric space
Jan
14
asked Continuous extension of positive functions on a C-embedded set.
Jan
9
awarded  Editor
Jan
9
revised Discrete family of compact subsets in a metric space
added 13 characters in body
Jan
9
comment Discrete family of compact subsets in a metric space
I am sorry, that I have given wrong definition of discrete family. Actually a family is called discrete if every point has a neighborhood meeting at the most one member of the family.
Jan
9
asked Discrete family of compact subsets in a metric space
Jul
14
accepted Existence of infinite discrete family of open sets in a non compact topological space
Jul
4
accepted Weak topology generated by identity maps
Jun
17
comment Continuous Functions and dense set
Take $g$ to be a zero function
Jun
17
awarded  Commentator
Jun
17
comment Continuous Functions and dense set
thanks! Actually I forgot to mention my topological space $X$ is tychonoff.