First, we characterize all locally connected continua whose all Whitney levels are planar. Second, we show by example that planarity is not a (strong) Whitney reversible property. This answers a question from Illanes-Nadler book .
J. Bustamante et al., "Planarity of Whitney Levels," Houston Journal of Mathematics, vol. 40, no. 4, pp. 1311-1318, University of Houston, Oct 2014.
Mathematics and Statistics
Keywords and Phrases
Continuum; Hyperspace; Planar; Whitney level; Whitney property; Whitney reversible property
International Standard Serial Number (ISSN)
Article - Journal
01 Oct 2014