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| Title: | Mathematics at DEC |
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| Moderator: | RUSURE::EDP |
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| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
1449.0. "f:R->R ==> exist S dense in R s.t. (f|S):S->R cont." by GUESS::DERAMO (Be excellent to each other.) Sat May 25 1991 01:12
Article 16852
Path: ryn.mro4.dec.com!hollie.rdg.dec.com!pa.dec.com!decwrl!elroy.jpl.nasa.gov!sdd.hp.com!uakari.primate.wisc.edu!aplcen!boingo.med.jhu.edu!haven.umd.edu!mimsy!mojo!news
From: [email protected] (James Alexander)
Newsgroups: sci.math
Subject: A poser
Message-ID: <[email protected]>
Date: 24 May 91 17:41:46 GMT
Sender: [email protected] (C-News)
Organization: University of Maryland
Lines: 14
A Russian emigre student here brought the problem below with him.
His story was that it had been a question on a test in Moscow.
The student presented a solution to his professor, who OKed it,
but the student later realized his solution was incorrect.
Recently another student here has developed a solution. I offer
the problem for those who are interested, but also ask if anybody
knows if a solution is in print.
Prove or find counterexample: Given any function f on the reals,
there is a dense subset S such that f restricted to S is continuous.
(NB. Not: f is continuous on S.)
[email protected]
| T.R | Title | User | Personal
Name | Date | Lines |
|---|
| 1449.1 | | VINO::XIA | In my beginning is my end. | Sat May 25 1991 13:23 | 4 |
| So far, I think I have got the "incorrect" version of that proof...
Will give another try later.
Eugene
|