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Coherent space

From Encyclopedia of Mathematics
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spectral space, quasi-Boolean space

A topological space which is sober and for which the compact open subsets form a basis for the topology.

A Hausdorff coherent space is a Stone space.

References

[1] P.T. Johnstone, "Stone spaces" , Cambridge Univ. Press (1982) ISBN 0-521-33779-8
How to Cite This Entry:
Coherent space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Coherent_space&oldid=37281