# .

# 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

Local field

Locally compact group

Locally compact quantum group

References

Narici, Lawrence (1971), Functional Analysis and Valuation Theory, CRC Press, pp. 21–22, ISBN 9780824714840.

Retrieved from "http://en.wikipedia.org/"

All text is available under the terms of the GNU Free Documentation License