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A Lost Mathematician, Takeo NakasawaOn Axiomatics of Linear Dependence. II. The B2-Space

A Lost Mathematician, Takeo Nakasawa: On Axiomatics of Linear Dependence. II. The B2-Space [In the present paper, which is a sequel to my earlier work13, the geometry of the second abstract space of linear dependence B2 (Definition 6) is to be presented precisely, after giving such auxiliary notions as circuit (Definition 15), principal linear space (Definition 25), separation of linear spaces (Definition 29) and separation of elements (Definition 58), we want to present our main theorems concerning the decomposition of a linear space into principal linear spaces (Proposition 56) and the decomposition of our 232-space into principal spaces (Proposition 59).] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Lost Mathematician, Takeo NakasawaOn Axiomatics of Linear Dependence. II. The B2-Space

Editors: Nishimura, Hirokazu; Kuroda, Susumu
Nakasawa, Takeo
A Lost Mathematician, Takeo Nakasawa — Nov 28, 1935
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Publisher
Birkhäuser Basel
Copyright
© Birkhäuser Basel 2009
ISBN
978-3-7643-8572-9
Pages
171 –203
DOI
10.1007/978-3-7643-8573-6_12
Publisher site
See Chapter on Publisher Site

Abstract

[In the present paper, which is a sequel to my earlier work13, the geometry of the second abstract space of linear dependence B2 (Definition 6) is to be presented precisely, after giving such auxiliary notions as circuit (Definition 15), principal linear space (Definition 25), separation of linear spaces (Definition 29) and separation of elements (Definition 58), we want to present our main theorems concerning the decomposition of a linear space into principal linear spaces (Proposition 56) and the decomposition of our 232-space into principal spaces (Proposition 59).]

Published: Nov 28, 1935

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