Duality and canonical extensions for stably compact spaces

Sam J. van Gool

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Duality and canonical extensions for stably compact spaces

机译：对偶性和规范扩展，用于稳定紧凑的空间

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摘要

We construct a canonical extension for strong proximity lattices in order to give an algebraic, point-free description of a finitary duality for stably compact spaces. In this setting not only morphisms, but also objects may have distinct π- and σ-extensions.

机译：我们为强邻近格构造一个规范扩展，以便给出稳定紧凑空间的最终对偶性的代数，无点描述。在这种设置下，不仅形态射影，对象也可能具有明显的π和σ扩展。

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来源
《Topology and its applications》 |2012年第1期|p.341-359|共19页
作者
Sam J. van Gool;
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作者单位

Institute for Mathematics, Astrophysics and Particle Physics, Radboud Universiteit Nijmegen, P.O. Box 9010, 6500 GL Nijmegen, The Netherlands;

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原文格式 PDF
正文语种 eng
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关键词
stably compact space; proximity lattice; canonical extension; priestley duality; stone duality; splitting by idempotents;

机译：稳定紧凑的空间;邻近晶格规范扩展普里斯特利对偶石对偶由幂等分裂;

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Duality and canonical extensions for stably compact spaces

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