平面紧集嵌入平面连续统及其应用：平面Peano连续统之间的同伦映射由基本群同态刻画
代数拓扑
2009-03-22 v2
摘要
一个具有连通补集的平面紧集可以通过附加一个零序列的弧嵌入到一个胞腔连续统中。从平面Peano连续统X到平面集Y的两个基于点映射f和g同伦当且仅当f和g诱导相同的基本群同态。
引用
@article{arxiv.0902.1723,
title = {Embedding planar compacta in planar continua with application: homotopic maps between planar Peano continua are characterized by the fundamental group homomorphism},
author = {Paul Fabel},
journal= {arXiv preprint arXiv:0902.1723},
year = {2009}
}
备注
25 pages - some reorganization and minor editing from 1st version