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math.GN2024
Buried points of plane continua
David Lipham, Jan van Mill, Murat Tuncali +2
Sets on the boundary of a complementary component of a continuum in the plane have been of interest since the early 1920's. Curry and Mayer defined the buried points of a plane con…
math.GN2019
Inverse systems with simplicial bonding maps and cell structures
Wojciech Dębski, Kazuhiro Kawamura, Murat Tuncalı +1
For a topologically complete space and a family of closed covers of satisfying a "local refinement condition" and a "completeness condition," we give a constru…
math.GN2009★ 1 cited
The Suslinian number and other cardinal invariants of continua
T. Banakh, V. V. Fedorchuk, J. Nikiel +1
By the {\em Suslinian number} $\Sln(X)$ of a continuum we understand the smallest cardinal number such that contains no disjoint family $\C$ of non-degenerate subcontin…