On the Euler–Poincaré characteristics of a simply connected rationally elliptic CW-complex

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2022-02-22 DOI:10.1007/s40062-022-00301-2

Mahmoud Benkhalifa

引用次数: 0

Abstract

For a simply connected rationally elliptic CW-complex X, we show that the cohomology and the homotopy Euler–Poincaré characteristics are related to two new numerical invariants namely \(\eta _{X}\) and \(\rho _{X}\) which we define using the Whitehead exact sequences of the Quillen and the Sullivan models of X.

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单连通合理椭圆型cw -复形的euler - poincarcarr特征

对于单连通理性椭圆型cw -复形X，我们证明了它的上同调和同伦euler - poincar特征与两个新的数值不变量\(\eta _{X}\)和\(\rho _{X}\)有关，这两个不变量是我们用X的Quillen和Sullivan模型的Whitehead精确序列定义的。

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

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.