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zero dimensional (Definition)
Definition 1   [1,2] Suppose $ X$ is a topological space. If $ X$ has a basis consising of clopen sets, then $ X$ is said to be zero dimensional.

Bibliography

1
L.A. Steen, J.A.Seebach, Jr., Counterexamples in topology, Holt, Rinehart and Winston, Inc., 1970.
2
S. Willard, General Topology, Addison-Wesley, Publishing Company, 1970.



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"zero dimensional" is owned by matte. [ full author list (2) ]
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See Also: separation axioms

Other names:  zero-dimensional
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Cross-references: clopen sets, basis, topological space
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This is version 5 of zero dimensional, born on 2004-10-04, modified 2008-01-17.
Object id is 6291, canonical name is ZeroDimensional.
Accessed 1548 times total.

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AMS MSC: 54-00 (General topology :: General reference works )
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