关于同伦幂零

IF 0.5 4区数学 Q3 MATHEMATICS

Glasnik Matematicki Pub Date : 2021-12-23 DOI:10.3336/gm.56.2.10

M. Golasiński

引用次数: 1

摘要

我们回顾了关于空间同伦幂零的一些已建立的和最近的研究结果。特别地，讨论了紧李群\(G\)及其闭同伦幂零子群\(K \lt G\)的齐次空间\(G/K\)的环空间\(\Omega(G/K)\)的同伦幂零性。

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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On homotopy nilpotency

We review established and recent results on the homotopy nilpotence of spaces. In particular, the homotopy nilpotency of the loop spaces \(\Omega(G/K)\) of homogenous spaces \(G/K\) for a compact Lie group \(G\) and its closed homotopy nilpotent subgroup \(K \lt G\) is discussed.

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来源期刊

Glasnik Matematicki MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Glasnik Matematicki publishes original research papers from all fields of pure and applied mathematics. The journal is published semiannually, in June and in December.