Loop homological invariants associated to real projective spaces

被引：0

作者：

Gao, Man ^{[1
]}

Tan, Colin ^{[2
]}

Wu, Jie ^{[2
]}

机构：

[1] 3A Happy Ave North, Singapore 369741, Singapore

[2] Natl Univ Singapore, Dept Math, Block S17,10 Lower Kent Ridge Rd, Singapore 119076, Singapore

来源：

TOPOLOGY AND ITS APPLICATIONS | 2016年 / 209卷

关键词：

Loop space; Poincare series; Real projective space; HOPF-ALGEBRAS; CONSTRUCTIONS; HOMOTOPY; PRODUCT;

D O I：

10.1016/j.topol.2016.06.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a based subspace of Y. Under the assumptions that Y is path-connected and that the reduced diagonal map of A induces the zero map in all mod 2 reduced homology groups, we compute a formula for the mod 2 reduced Poincare series of the loop space Omega((A <^> RP infinity) U-A<^>RP1 (Y <^> RP1)). Here RP infinity and RP1 denote the infinite real projective space and the real projective line respectively. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：275 / 288

页数：14

共 18 条

[1]

Bott R., 1953, Commentarii Mathematici Helvetici, V27, P320, DOI [10.1007/BF02564566, DOI 10.1007/BF02564566]

[2] A SPECTRAL SEQUENCE FOR HOMOTOPY OF NICE SPACES [J].