We prove that every planar rational compactum with rim-type ≤ α, where α is a countable ordinal greater than 0, can be topologically embedded into a planar rational (locally connected) continuum with rim-type ≤ α.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm168-2-2, author = {Sophia Zafiridou}, title = {Embedding of a planar rational compactum into a planar continuum with the same rim-type}, journal = {Fundamenta Mathematicae}, volume = {167}, year = {2001}, pages = {113-118}, zbl = {0972.54015}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm168-2-2} }
Sophia Zafiridou. Embedding of a planar rational compactum into a planar continuum with the same rim-type. Fundamenta Mathematicae, Tome 167 (2001) pp. 113-118. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm168-2-2/