# 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