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On Axiomatics of Linear Dependence I: The B-Space

In: A Lost Mathematician, Takeo Nakasawa

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  • Takeo Nakasawa

Abstract

In this investigation, an axiom system for the notion of linear dependence in an n-dimensional projective space is to be presented with the aid of cycle calculation, which Mr. G. Thomson introduced1by his relatively abstract treatment of elementary geometry. First, we will deal with the geometry of an abstract space of linear dependence of the first type, whose exact definition will follow shortly.

Suggested Citation

  • Takeo Nakasawa, 2009. "On Axiomatics of Linear Dependence I: The B-Space," Springer Books, in: Hirokazu Nishimura & Susumu Kuroda (ed.), A Lost Mathematician, Takeo Nakasawa, pages 145-169, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7643-8573-6_11
    DOI: 10.1007/978-3-7643-8573-6_11
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