The complexity of the classification problems of finite-dimensional continua
Sign Up to like & getrecommendations! Published in 2019 at "Topology and its Applications"
DOI: 10.1016/j.topol.2019.106876
Abstract: We consider the homeomorphic classification of finite-dimensional continua as well as several related equivalence relations. We show that, when $n \geq 2$, the classification problem of $n$-dimensional continua is strictly more complex than the isomorphism… read more here.
Keywords: dimensional continua; complexity classification; finite dimensional; classification ... See more keywords
Regions-based two dimensional continua: The Euclidean case
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DOI: 10.12775/llp.2015.011
Abstract: We extend the work presented in [7, 8] to a regions-based, two-dimensional, Euclidean theory. The goal is to recover the classical continuum on a point-free basis. We first derive the Archimedean property for a class… read more here.
Keywords: regions based; continua euclidean; based two; dimensional continua ... See more keywords
Generic Homeomorphisms with Shadowing of One-Dimensional Continua
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DOI: 10.3390/axioms8020066
Abstract: In this article, we show that there are homeomorphisms of plane continua whose conjugacy class is residual and have the shadowing property. read more here.
Keywords: dimensional continua; one dimensional; homeomorphisms shadowing; generic homeomorphisms ... See more keywords