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On Axiomatics of Linear Dependence. II. The B2-Space

In: A Lost Mathematician, Takeo Nakasawa

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  • Takeo Nakasawa

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).

Suggested Citation

  • Takeo Nakasawa, 2009. "On Axiomatics of Linear Dependence. II. The B2-Space," Springer Books, in: Hirokazu Nishimura & Susumu Kuroda (ed.), A Lost Mathematician, Takeo Nakasawa, pages 171-203, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7643-8573-6_12
    DOI: 10.1007/978-3-7643-8573-6_12
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