平面Peano连续统中的同伦映射及其应用：平面Peano连续统之间的同伦映射由基本群同态刻画
Embedding planar compacta in planar continua with application: homotopic maps between planar Peano continua are characterized by the fundamental group homomorphism
摘要：
一个具有连通补的平面紧模型可以通过附加一个空弧序列嵌入到胞腔连续统中。从平面Peano连续统X到平面集合Y的两个基映射f和g是同伦的当且仅当f和g在基本群之间诱导相同的同态。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
