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Bitopological local compactness
AbstractIn a bitopological space (X, T1, T2), T1 is said to be locally compact with respect to T2 if for each point x ϵ X there is a T1 open neighbourhood of x whose T2 closure is pairwise compact. (X, T1, T2) is pairwise locally compact if T1 is locally compact with respect to T2 and T2 is locally compact with respect to T1.
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Pontryagin first worked out the structure and duality theory for locally compact abelian groups in the 1930’s. This theory has since played an important role in the modern adelic approach to number theory. Of particular importance to number theory are certain locally compact abelian groups with lattice. The purpose of this paper is twofold.
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Locally Compact Abelian Groups [PDF]
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Locally compact Clifford semigroups [PDF]
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Locally compact, b-compact spaces
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Robustness of Topological Phases on Aperiodic Lattices. [PDF]
Li Y.
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Pseudo Locally Compact Spaces [PDF]
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Ramifications of generalized Feller theory. [PDF]
Cuchiero C, Möllmann T, Teichmann J.
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Families of proper holomorphic maps. [PDF]
Drnovšek BD, Kališnik J.
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Scaffolds with optimized quaternary symmetry for de novo cryoEM structure determination of small RNAs. [PDF]
Jones CP, Ferré-D'Amaré AR.
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