Arcwise increasing maps

作者：Espinoza Benjamin^*; Matsuhashi Eiichi

来源：Topology and Its Applications, 2015, 190: 74-92.

DOI：10.1016/j.topol.2015.04.010

• Arcwise increasing maps
• Eulerian path
• Peano continua
• Superdendrite
• Whitney preserving maps

A surjective continuous map f : [0,1] -> X is called an arcwise increasing map if for any two closed subintervals A and B of [0,1] such that A subset of B, then f (A) subset of f (B). A continuum X is said to admit an arcwise increasing map if there is an arcwise increasing map onto X. It is shown that any Peano continuum with no free arcs admits an arcwise increasing map, and a characterization of graphs and dendrites that admit arcwise increasing maps is given.

• 出版日期2015-8-1