Embedding planar compacta in planar continua with application: homotopic maps between planar Peano continua are characterized by the fundamental group homomorphism

Details Embedding planar compacta in planar continua with application: homotopic maps between planar Peano continua are characterized by the fundamental group homomorphism Embedding planar compacta in planar continua with application: homotopic maps between planar Peano continua are characterized by the fundamental group homomorphism

2009-02-10

arxiv.org/abs/0902.1723v2

Mathematics

Algebraic Topology

25 pages - some reorganization and minor editing from 1st version

Scientific paper

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.

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