9 citations · 17 across the 10 of their papers we have counts for
11 papers
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…
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…
Shortest paths in arbitrary plane domains
L. C. Hoehn, L. G. Oversteegen, E. D. Tymchatyn
Let be a connected open set in the plane and a path such that . We show that the path can be ``pulled tight'' to a unique shor…
Extension of isotopies in the plane
L. C. Hoehn, L. G. Oversteegen, E. D. Tymchatyn
Let be any plane set. It is known that a holomorphic motion always extends to a holomorphic motion of the entire plane. It was recently…
A canonical parameterization of paths in
L. C. Hoehn, L. G. Oversteegen, E. D. Tymchatyn
For sufficiently tame paths in , Euclidean length provides a canonical parametrization of a path by length. In this paper we provide such a parametrization for all co…
Fixed point theorems in plane continua with applications
Alexander M. Blokh, Robbert J. Fokkink, John C. Mayer +2
We present proofs of basic results, including those developed by Harold Bell, for the plane fixed point problem: does every map of a non-separating plane continuum have a fixed poi…