局部预序空间的便利范畴
代数拓扑
2008-12-06 v3
摘要
作为抽象时空同伦论的实用基础，我们将某些紧致偏序空间的范畴扩展为局部预序空间的便利范畴。特别地，我们证明新范畴是笛卡尔闭的，且到紧致生成空间范畴的遗忘函子创建所有极限与余极限。
引用
@article{arxiv.0709.3646,
title = {A convenient category of locally preordered spaces},
author = {Sanjeevi Krishnan},
journal= {arXiv preprint arXiv:0709.3646},
year = {2008}
}
备注
26 pages, 0 figures, partially presented at GETCO 2005; changes: claim of Prop. 5.11 weakened to finite case and proof changed due to problems with proof of Lemma 3.26, now removed; Eg. 2.7, statement before Lem. 2.11, typos, and other minor problems corrected throughout; extensive rewording; proof of Lem. 3.31, now 3.30, added