A Topology on Milnor’s Group of a Topological Field and Continuous Joint Determinants
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-12
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
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 K-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 R and C.
American Psychological Association (APA)
Myung, Sung. 2017. A Topology on Milnor’s Group of a Topological Field and Continuous Joint Determinants. International Journal of Mathematics and Mathematical Sciences،Vol. 2017, no. 2017, pp.1-5.
https://search.emarefa.net/detail/BIM-1167725
Modern Language Association (MLA)
Myung, Sung. A Topology on Milnor’s Group of a Topological Field and Continuous Joint Determinants. International Journal of Mathematics and Mathematical Sciences No. 2017 (2017), pp.1-5.
https://search.emarefa.net/detail/BIM-1167725
American Medical Association (AMA)
Myung, Sung. A Topology on Milnor’s Group of a Topological Field and Continuous Joint Determinants. International Journal of Mathematics and Mathematical Sciences. 2017. Vol. 2017, no. 2017, pp.1-5.
https://search.emarefa.net/detail/BIM-1167725
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1167725