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indiscrete topology
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(Definition)
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If  is a set and it is endowed with a topology defined by
then  is said to have the indiscrete topology.
Furthermore  is the coarsest topology a set can possess, since  would be a subset of any other possible topology. This topology gives  many properties:
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"indiscrete topology" is owned by mathwizard. [ full author list (2) | owner history (1) ]
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(view preamble)
| Other names: |
trivial topology, coarse topology |
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Cross-references: metric, pseudometrizable, Hausdorff, metrizable, ultraconnected, hyperconnected, point, uncountable, arc, connected, path connected, continuous, function, sequentially compact, properties, subset, topology
There are 6 references to this entry.
This is version 17 of indiscrete topology, born on 2002-06-19, modified 2006-08-22.
Object id is 3120, canonical name is IndiscreteTopology.
Accessed 8835 times total.
Classification:
| AMS MSC: | 54-00 (General topology :: General reference works ) |
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Pending Errata and Addenda
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