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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


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

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