半导数理论

IF 0.9 3区数学 Q2 MATHEMATICS

Documenta Mathematica Pub Date : 2020-10-22 DOI:10.4171/dm/881

Ian Coley

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引用次数: 2

摘要

我们从头开始回顾了衍生子的理论，定义了衍生子的新类别，这些衍生子最初是由衍生子k理论驱动的。我们证明了许多依赖于同邻双完备性的旧论点对任意图范畴上的单侧半导子也成立。最后，我们定义了推广Waldhausen k理论的导数k理论的极大定义域。

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The theory of half derivators

We review the theory of derivators from the ground up, defining new classes of derivators which were originally motivated by derivator K-theory. We prove that many old arguments that relied on homotopical bicompleteness hold also for one-sided half derivators on arbitrary diagram categories. We end by defining the maximal domain for a K-theory of derivators generalising Waldhausen K-theory.

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来源期刊

Documenta Mathematica 数学-数学

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented Documenta Mathematica publishes excellent and carefully refereed articles of general interest, which preferably should rely only on refereed sources and references.