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- First full treatment of the subject and its applications
- Written by the pioneer of this field
- Broad applications in mathematics
- Of interest across most fields
- Ideal as an introduction and survey
- Examples treated include:
- the space of Penrose tilings
- the space of leaves of a foliation
- the space of irreducible unitary representations of a discrete group
- the phase space in quantum mechanics
- the Brillouin zone in the quantum Hall effect
- A model of space time
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