The origin of the notion of manifold: from Riemann's Habilitationsvortrag onward

The origin of the notion of manifold: from Riemann's Habilitationsvortrag onward
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流形概念的起源:从黎曼的 Habilitationsvortrag 开始

DOI:
10.1007/978-3-319-60039-0_9
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发表时间:
2017
期刊:
From Riemann to Differential Geometry and Relativity
影响因子:
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通讯作者:
Ken'ichi Ohshika
Ken'ichi Ohshika
中科院分区:
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文献类型:
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作者:
Takahashi;Nobuyoshi;Ken'ichi Ohshika

文献摘要

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在这一章中,我们将从黎曼的Habilitationsvortrag出发,来考察流形的概念是如何诞生、发展和发展的。我们还触及了这一发展的哲学方面。
In this chapter we survey how the notion of manifold was born, elaborated, and developed, starting from Riemann’s Habilitationsvortrag. We also touch upon the philosophical side of this development.