A Topology on Milnor’s Group of a Topological Field and Continuous Joint Determinants

Sung Myung

International Journal of Mathematics and Mathematical Sciences, 2017, vol. 2017, 1-5

Abstract:

For the tuple set of commuting invertible matrices with coefficients in a given field, the joint determinants are defined as generalizations of the determinant map for the square matrices. We introduce a natural topology on Milnor’s -groups of a topological field as the quotient topology induced by the joint determinant map and investigate the existence of a nontrivial continuous joint determinant by utilizing this topology, generalizing the author’s previous results on the continuous joint determinants for the commuting invertible matrices over and .

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:4349153

DOI: 10.1155/2017/4349153

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