[FOM] constructive Tychonov

negri@mappi.helsinki.fi negri at mappi.helsinki.fi
Wed Nov 28 19:22:06 EST 2007


See also:

S. Negri and S Valentini, Tychonoff ’s theorem in the framework of 
formal topologies, Journal of Symbolic Logic 62(4) (1997), 1315–1332

(online version available from http://www.helsinki.fi/~negri/pub.html)

Best regards,

           Sara Negri

Quoting Andrej Bauer <Andrej.Bauer at fmf.uni-lj.si>:

> Robert Black wrote:
> > Is there a constructively provable version of the Tychonov product 
> > theorem? And if there is, exactly what does it say, and what 
> > definition of 'compact' does it use?
> 
> Yes, see for example Steve Vicker's "Some constructive roads to
> Tychonoff", published in "From Sets and Types to Topology and Analysis:
> Towards Practicable Foundations for Constructive Mathematics", Edited by
> Laura Crosilla and Peter Schuster, Oxford University Press, 2005,
> http://www.oup.com/uk/catalogue/?ci=9780198566519
> 
> The paper can be downloaded at
> http://www.cs.bham.ac.uk/~sjv/InfiniteTych.pdf
> 
> Best regards,
> 
> Andrej
> 
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