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Exact Covering Systems in Number Fields
Exact covering systems Lattice parallelotopes Chinese Remainder Theorem
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2011/2/22
It is well known that in an exact covering system in Z, the biggest modulus must be repeated. Very recently, S. Kim proved an analogous result for certain quadratic fields. In this paper, we prove tha...
Covering Systems, Solenoids, and Shape Theory
Covering Systems Solenoids Shape Theory
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2010/12/14
We use basic results from shape theory to investigate inverse systems of covers and the corresponding fundamental pro-groups. Many of the standard shape-theoretic definitions become simpler in the con...