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General Geometric Problems

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Unsolved Problems in Geometry

Part of the book series: Problem Books in Mathematics ((1605,volume 2))

Abstract

Most of the problems encountered so far have involved convex sets, or other sets with considerable intrinsic geometric structure. Nevertheless, one can study the geometry of much more general objects, for example, sets that are just closed or Lebesgue measurable, or even completely arbitrary. This chapter contains a selection of problems which, at least at first glance, are of such a general nature.

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Croft, H.T., Falconer, K.J., Guy, R.K. (1991). General Geometric Problems. In: Unsolved Problems in Geometry. Problem Books in Mathematics, vol 2. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0963-8_8

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  • DOI: https://doi.org/10.1007/978-1-4612-0963-8_8

  • Publisher Name: Springer, New York, NY

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