Continuity on intervals

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I am unable to understand why almost thm on continuity like Bolzano's thm ,Borel's covering thm are on closed interval ? Can it be applied to open interval?




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  • Please state the theorems you are referring to, because many others may have heard versions of the theorem for open intervals, and these people can help you.
    – Ð°ÑÑ‚он вілла олоф мэллбэрг
    Jul 28 at 4:18














up vote
-3
down vote

favorite












I am unable to understand why almost thm on continuity like Bolzano's thm ,Borel's covering thm are on closed interval ? Can it be applied to open interval?




calculus




share|cite|improve this question



















  • Please state the theorems you are referring to, because many others may have heard versions of the theorem for open intervals, and these people can help you.
    – Ð°ÑÑ‚он вілла олоф мэллбэрг
    Jul 28 at 4:18












up vote
-3
down vote

favorite









up vote
-3
down vote

favorite











I am unable to understand why almost thm on continuity like Bolzano's thm ,Borel's covering thm are on closed interval ? Can it be applied to open interval?




calculus




share|cite|improve this question











I am unable to understand why almost thm on continuity like Bolzano's thm ,Borel's covering thm are on closed interval ? Can it be applied to open interval?





calculus





share|cite|improve this question










share|cite|improve this question




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asked Jul 28 at 3:57









Pooja Mittal

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  • Please state the theorems you are referring to, because many others may have heard versions of the theorem for open intervals, and these people can help you.
    – Ð°ÑÑ‚он вілла олоф мэллбэрг
    Jul 28 at 4:18
















  • Please state the theorems you are referring to, because many others may have heard versions of the theorem for open intervals, and these people can help you.
    – Ð°ÑÑ‚он вілла олоф мэллбэрг
    Jul 28 at 4:18















Please state the theorems you are referring to, because many others may have heard versions of the theorem for open intervals, and these people can help you.
– Ð°ÑÑ‚он вілла олоф мэллбэрг
Jul 28 at 4:18




Please state the theorems you are referring to, because many others may have heard versions of the theorem for open intervals, and these people can help you.
– Ð°ÑÑ‚он вілла олоф мэллбэрг
Jul 28 at 4:18















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