不稳定余代数的实现空间
代数拓扑
2017-08-17 v3
摘要
Steenrod代数上的不稳定余代数构成了以素域为系数的奇异同调的自然目标范畴。实现问题询问一个不稳定余代数是否同构于某个拓扑空间的同调。我们研究了这种实现的模空间，并给出了一个用不稳定余代数的上同调不变量来描述它的方法。这是通过彻底比较余单纯不稳定余代数和余单纯空间的同伦理论来实现的。
关键词
引用
@article{arxiv.1409.0410,
title = {The realization space of an unstable coalgebra},
author = {Georg Biedermann and Georgios Raptis and Manfred Stelzer},
journal= {arXiv preprint arXiv:1409.0410},
year = {2017}
}
备注
118 pages. Final version ; accepted for publication in Ast\'erisque. The presentation of the material is reorganized and generally improved. More details are added in some proofs and some corrections are made, especially in Section 7 and Appendix A. Some issues concerning basepoints are resolved and the module actions in the spiral exact sequence are explained in detail