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COMPACT SPACES WITH HEREDITARILY NORMAL SQUARES
COMPACT SPACES HEREDITARILY NORMAL SQUARES
2015/8/17
In 1948, Katetov proved the following metrization theorem. Theorem 1.1. [3] If X is a compact space1 and every subspace of X3 is normal, then X is metrizable.
Radon-Nikodým compact spaces of low weight and Banach spaces
Radon-Nikod´ ym compact quasi Radon-Nikod´ ym compact
2011/2/28
We prove that a continuous image of a Radon-Nikod´ym compact of weight less than b is Radon-Nikod´ym compact. As a Banach space counter-part, subspaces of Asplund generated Banach spaces o...
In 1962, H. de Vries proved a duality theorem for the category {\bf HC} of compact Hausdorff spaces and continuous maps. The composition of the morphisms of the dual category obtained by him differs ...
Duality and canonical extensions for stably compact spaces
Duality canonical extensions stably compact spaces
2010/12/8
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.
The complexity of a minimal subsystem on compact spaces
chaos minimal sub-system topological semi-conjugate
2010/9/16
In this paper , we discuss the complexity of the compact system generated by the continuous map on compact spaces and prove if there exists a topological semi-conjugate which is from the compact space...