Embedding planar compacta in planar continua with application: homotopic maps between planar Peano continua are characterized by the fundamental group homomorphism
Algebraic Topology
2009-03-22 v2
Abstract
A planar compactum with connected complement can be an embedded in a cellular continuum by attaching a null sequence of arcs. Two based maps f and g from a planar Peano continuum X to a planar set Y are homotopic iff f and g induce the same homomorphism between fundamental groups.
Keywords
Cite
@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}
}
Comments
25 pages - some reorganization and minor editing from 1st version