From: Peter Freyd <pjf@saul.cis.upenn.edu>
To: categories@mta.ca
Cc: mm.mawanda@nul.ls
Subject: Re: stupid question?
Date: Wed, 29 Mar 2000 15:23:16 -0500 (EST) [thread overview]
Message-ID: <200003292023.PAA12854@saul.cis.upenn.edu> (raw)
M.M. Mawanda asks:
>I have been asked the following question: Is it true that any function
>defined in a real number closed interval [a,b] (there is not a hypothesis
>of continuity) is bounded in an open subinterval (c,d) of [a,b]? My
>spontaneous was NO. Unfortunately I cannot find a counter-example to
>disapproved my answer. Can someone help.
No it is not true. For example, the function defined by:
f(x) = if x is irrational then 0 else
if x = p/q where p and q are co-prime then q.
next reply other threads:[~2000-03-29 20:23 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
2000-03-29 20:23 Peter Freyd [this message]
2000-03-30 1:32 ` question? Michael Barr
-- strict thread matches above, loose matches on Subject: below --
2000-03-29 23:13 Re: stupid question? Max Kanovitch
2000-03-30 3:00 ` Todd Wilson
2000-03-29 21:48 Wendt, Michael - SSMD/DMES
2000-03-29 17:36 M.M. Mawanda
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