A classification of CO spaces which are continuous images of compact ordered spaces

Robert Bonnet; Matatyahu Rubin

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A classification of CO spaces which are continuous images of compact ordered spaces

机译：CO空间的分类，它们是紧凑有序空间的连续图像

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摘要

A topological space X is called a CO space, if every closed subset of X is homeomorphic to some clopen subset of X. Every ordinal with its order topology is a CO space. This work gives a complete classification of CO spaces which are continuous images of

机译：如果X的每个闭合子集与X的某个clopen同形同胚，则拓扑空间X称为CO空间。每个有序拓扑的序数都是CO空间。这项工作对CO空间进行了完整分类，这些空间是

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来源
《Topology and its applications》 |2008年第5期|p.375-411|共37页
作者
Robert Bonnet; Matatyahu Rubin;
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作者单位

Laboratoire de Mathematiques, CNRS-UMR-5127, Universite de Savoie, Chambery, France;

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原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
scattered spaces; continuous images; compact orderable spaces; superatomic boolean algebras;

机译：零散空间;连续图像;紧凑可排序空间;超原子布尔代数;

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1. Scattered compact sets in continuous images of Cech-complete spaces [J] . Banakh Taras, Bokalo Bogdan, Tkachuk Vladimir Topology and its applications . 2020,第Auga1期

机译：CECH完整空间的连续图像分散的紧凑型集
2. Some examples of continuous images of Radon-NikodA1/2m compact spaces [J] . Arvanitakis AD, Aviles A Czechoslovak Mathematical Journal . 2009,第4期

机译：Radon-NikodA1 / 2m紧致空间连续图像的一些示例
3. Some examples of continuous images of Radon-Nikodym compact spaces [J] . Arvanitakis Alexander D., Avilés Antonio Czechoslovak Mathematical Journal . 2009,第4期

机译：Radon-Nikodym紧空间连续图像的一些示例
4. DESIGN SPACE EXPLORATION IN SPARSE, MIXED CONTINUOUS/DISCRETE SPACES VIA SYNTHETICALLY ENHANCED CLASSIFICATION [C] . Tyler Wiest, Carolyn Conner Seepersad, Michael Haberman Design automation conference;ASME international design engineering technical conferences and computers and information in engineering conference . 2018

机译：通过综合增强的分类在稀疏，连续/离散混合空间中进行设计空间探索
5. Nonlinear Encoding MRI: Multi-slice and Oblique O-space Imaging, Null Space Imaging, and Pseudo-random O-space Imaging for Accelerated Parallel Imaging. [D] . Tam, Lick-Kong. 2013

机译：非线性编码MRI：用于加速并行成像的多层和倾斜O空间成像，零空间成像和伪随机O空间成像。
6. Experiments of Image Classification Using Dissimilarity Spaces Built with Siamese Networks [O] . Loris Nanni, Giovanni Minchio, Sheryl Brahnam, 2021

机译：暹罗网络建立的不同空间的图像分类实验
7. A classification of CO spaces which are continuous images of compact ordered spaces [O] . Bonnet Robert, Rubin Matatyahu 2008

机译：CO空间的分类，是紧凑有序空间的连续图像
8. Isomorphical Classification of Function Spaces of Zero Dimensional Locally Compact Separable Metric Spaces [R] . Baars, J. , de Groot, J. A. M. 1988

机译：零维局部紧致可分度量空间函数空间的同构分类

A classification of CO spaces which are continuous images of compact ordered spaces

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