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arxiv: 1804.05649 · v1 · pith:QH3W7SHDnew · submitted 2018-04-16 · 🧮 math.DG

Huygens' principle - a synthetic account

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keywords accounthuygensmetricprinciplesyntheticapplauthoraxiomatic
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We present an axiomatic/synthetic account of the Huygens Principle of wave fronts. The primitive notions are "touching", and (a weak notion of ) metric. The paper simplifies some of the exposition of the author's "Metric spaces and SDG", Theory and Appl. of Categories 32 (2017), 803-822

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