Locally compact field

In algebra, a locally compact field is a topological field whose topology forms a locally compact space[1] (in particular, it is a Hausdorff space). Examples are discrete fields and local fields such as the field of complex numbers and the p-adic fields. Since one can always give discrete topology to a field, any field can be turned into a locally compact field.

See also

References

  1. Narici, Lawrence (1971), Functional Analysis and Valuation Theory, CRC Press, pp. 21–22, ISBN 9780824714840.
This article is issued from Wikipedia - version of the Sunday, May 04, 2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.