Topology of manifolds modeled on countable direct limits of Menger compacta

Dusan Repovs; Michael Zarichnyi

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Topology of manifolds modeled on countable direct limits of Menger compacta

机译：基于Menger compacta的可数直接极限建模的歧管拓扑

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摘要

We construct n-dimensional counterparts of manifolds modeled on the space l~2 equipped by the bounded weak topology (μ_n~∞-manifolds). For μ_n~∞-manifolds we prove the characterization, triangulation and classification theorems. In addition, a universal map of μ_n~∞ onto Q~∞ (the countable direct limit of Hilbert cubes and Z-embeddings) is constructed and characterized.

机译：我们构造了以有界弱拓扑（μ_n〜∞流形）装备的空间l〜2为模型的流形的n维对应物。对于μ_n〜∞流形，我们证明了定理，三角剖分和分类定理。此外，构造并表征了μ_n〜∞到Q〜∞（希尔伯特立方体和Z嵌入的可数直接极限）的通用映射。

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来源
《Topology and its applications》 |2006年第17期|p.3230-3240|共11页
作者
Dusan Repovs; Michael Zarichnyi;
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作者单位

Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Jadranska 19, PO Box 2964, Ljubljana, Slovenia 1001;

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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
menger manifold; universal dranishnikov map; countable direct limit;

机译：Menger流形;通用dranishnikov映射;可数直接极限;

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机译：基于Menger compacta的可数直接极限建模的歧管拓扑

Topology of manifolds modeled on countable direct limits of Menger compacta

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