Refinable maps in dimension theory

Akira Koyama*

*この研究の対応する著者

研究成果査読

5 被引用数 (Scopus)

抄録

This paper studies properties of refinable maps and contains applications to dimension theory. It is proved that refinable maps between compact Hausdorff spaces preserve covering dimension exactly and do not raise small cohomological dimension with any coefficient group. The notion of a c-refinable map is introduced and is shown to play a comparable role in the setting of normal spaces. For example, c-refinable maps between normal spaces are shown to preserve covering dimension and S-weak infinite-dimensionality. These facts do not hold for refinable maps.

本文言語English
ページ(範囲)247-255
ページ数9
ジャーナルTopology and its Applications
17
3
DOI
出版ステータスPublished - 1984 6
外部発表はい

ASJC Scopus subject areas

  • 幾何学とトポロジー

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