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Mathematical Implications of Einstein-Weyl Causality (Lecture Notes in Physics, 709, Band 709) - Hardcover

Borchers, Hans Jürgen; Sen, Rathindra Nath

 
9783540376804: Mathematical Implications of Einstein-Weyl Causality (Lecture Notes in Physics, 709, Band 709)

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Here is a systematic approach to such fundamental questions as: What mathematical structures does Einstein-Weyl causality impose on a point-set that has no other previous structure defined on it? The author proposes an axiomatization of the physics inspired notion of Einstein-Weyl causality and investigating the consequences in terms of possible topological spaces. One significant result is that the notion of causality can effectively be extended to discontinuum.

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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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