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

Takeo Nakasawa

A chapter in A Lost Mathematician, Takeo Nakasawa, 2009, pp 171-203 from Springer

Abstract: 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).

Date: 2009
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DOI: 10.1007/978-3-7643-8573-6_12

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