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Open selections on smooth fans
- Source :
- Topology and its Applications. 153(8):1214-1235
- Publication Year :
- 2006
- Publisher :
- Elsevier BV, 2006.
-
Abstract
- Given a dendroid X, an open selection is an open map s : C ( X ) → X such that s ( A ) ∈ A for every A ∈ C ( X ) . We show that a smooth fan X admits an open selection if and only if X is locally connected.
Details
- ISSN :
- 01668641
- Volume :
- 153
- Issue :
- 8
- Database :
- OpenAIRE
- Journal :
- Topology and its Applications
- Accession number :
- edsair.doi.dedup.....74f42cff9132bda2d1bfeffcfe0483ef
- Full Text :
- https://doi.org/10.1016/j.topol.2005.03.010