Multiplicity of a space over another space

研究成果: Article査読

2 被引用数 (Scopus)

抄録

We define a concept which we call multiplicity. First, multiplicity of a morphism is defined. Then the multiplicity of an object over another object is defined to be the minimum of the multiplicities of all morphisms from one to another. Based on this multiplicity, we define a pseudo distance on the class of objects. We define and study several multiplicities in the category of topological spaces and continuous maps, the category of groups and homomorphisms, the category of finitely generated R-modules and R-linear maps over a principal ideal domain R, and the neighbourhood category of oriented knots in the 3-sphere.

本文言語English
ページ(範囲)823-849
ページ数27
ジャーナルJournal of the Mathematical Society of Japan
64
3
DOI
出版ステータスPublished - 2012

ASJC Scopus subject areas

  • Mathematics(all)

フィンガープリント 「Multiplicity of a space over another space」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル