Ebook: Mathematical Implications of Einstein-Weyl Causality
- Genre: Physics // Theory of Relativity and Gravitation
- Tags: Физика, Теория относительности и альтернативные теории гравитации
- Series: Lecture notes in physics 709
- Year: 2006
- Publisher: Springer
- City: Berlin; New York
- Edition: 1
- Language: English
- djvu
The present work is the first systematic attempt at answering the following fundamental question: what mathematical structures does Einstein-Weyl causality impose on a point-set that has no other previous structure defined on it? The authors propose an axiomatization of Einstein-Weyl causality (inspired by physics), and investigate the topological and uniform structures that it implies. Their final result is that a causal space is densely embedded in one that is locally a differentiable manifold. The mathematical level required of the reader is that of the graduate student in mathematical physics.
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