Coformality around fibrations and cofibrations

IF 0.8 4区数学 Q2 MATHEMATICS

Homology Homotopy and Applications Pub Date : 2021-08-19 DOI:10.4310/hha.2023.v25.n1.a12

R. Huang

引用次数: 0

Abstract

We show that in a fibration the coformality of the base space implies the coformality of the total space under reasonable conditions, and these conditions can not be weakened. The result is partially dual to the classical work of Lupton \cite{Lup} on the formality within a fibration. Our result has two applications. First, we show that for certain cofibrations, the coformality of the cofiber implies the coformality of the base. Secondly, we show that the total spaces of certain spherical fibrations are Koszul in the sense of Berglund \cite{Ber}.

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颤振和颤振的共形性

我们证明了在合理的条件下，基空间的共形性暗示了总空间的共形性，并且这些条件不能被削弱。结果部分与Lupton的经典作品\cite{Lup}关于纤维内的形式。我们的结果有两个应用。首先，我们证明了对于某些共纤，共纤的共形性意味着碱基的共形性。其次，我们证明了某些球形颤振的总空间在Berglund \cite{Ber}意义上是Koszul的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Homology Homotopy and Applications 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Homology, Homotopy and Applications is a refereed journal which publishes high-quality papers in the general area of homotopy theory and algebraic topology, as well as applications of the ideas and results in this area. This means applications in the broadest possible sense, i.e. applications to other parts of mathematics such as number theory and algebraic geometry, as well as to areas outside of mathematics, such as computer science, physics, and statistics. Homotopy theory is also intended to be interpreted broadly, including algebraic K-theory, model categories, homotopy theory of varieties, etc. We particularly encourage innovative papers which point the way toward new applications of the subject.