Pontryagin Duality

Let be a locally compact Abelian Group. Let be the group of all homeomorphisms , in the compact opentopology. Then is also a locally compact Abelian Group, where the asterisk defines a contravariant equivalence ofthe category of locally compact Abelian groups with itself. The natural mapping , sending to , where, is an isomorphism and a Homeomorphism. Under this equivalence, compact groups are sent to discrete groupsand vice versa.

• Temperature
• Templar Magic Square
• Tennis Ball Theorem
• Tensor
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• Tensor Density
• Tensor Dual
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• Tensor Space
• Tensor Spherical Harmonic
• Tensor Transpose
• Tent Map
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• Tethered Bull Problem
• Tetrabolo
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• Tetradecagon
• Tetradecahedron