Zobrazeno 1 - 10
of 156
pro vyhledávání: '"David Sumner"'
Publikováno v:
Open Library of Humanities, Vol 4, Iss 2 (2018)
This article presents a pedagogical approach to teaching technical and professional writing with an eye toward cultivating awareness and generating informed research among undergraduate students about food production and its various, intricate networ
Externí odkaz:
https://doaj.org/article/e9fa568bd606431c830815c8727fe136
Autor:
Lipham, David Sumner
E.D. Tymchatyn constructed a hereditarily locally connected continuum which can be approximated by a sequence of mutually disjoint arcs. We show the example re-opens a conjecture of G.T. Seidler and H. Kato about continua which admit positive entropy
Externí odkaz:
http://arxiv.org/abs/1910.00563
Autor:
Lipham, David Sumner
Publikováno v:
Ergodic Theory and Dynamical Systems (2019)
We study topological properties of the escaping endpoints and fast escaping endpoints of the Julia set of complex exponential $\exp(z)+a$ when $a\in (-\infty,-1)$. We show neither space is homeomorphic to the whole set of endpoints. This follows from
Externí odkaz:
http://arxiv.org/abs/1908.10985
Autor:
Lipham, David Sumner
Publikováno v:
Proc. Amer. Math. Soc. 148 (2020)
We construct two connected plane sets which can be embedded into rational curves. The first is a biconnected set with a dispersion point. It answers a question of Joachim Grispolakis. The second is indecomposable. Both examples are completely metriza
Externí odkaz:
http://arxiv.org/abs/1904.04463
Autor:
Lipham, David Sumner
Publikováno v:
Topology and its Applications 260 (2019)
Suppose $Y$ is a continuum, $x\in Y$, and $X$ is the union of all nowhere dense subcontinua of $Y$ containing $x$. Suppose further that there exists $y\in Y$ such that every connected subset of $X$ limiting to $y$ is dense in $X$. And, suppose $X$ is
Externí odkaz:
http://arxiv.org/abs/1806.10828
Autor:
Lipham, David Sumner
We show that every connected set $X$ which is irreducible between two points $a$ and $b$ embeds into the Hilbert cube in a way that $X\cup \{c\}$ is irreducible between $a$ and $b$ for every point $c$ in the closure of $X$. Also, a connected set $X$
Externí odkaz:
http://arxiv.org/abs/1804.05440
Autor:
Lipham, David Sumner
Publikováno v:
Topology and its Applications 243 (2018)
The following is an open problem in topology: Determine whether the Stone-\v{C}ech compactification of a widely-connected space is necessarily an indecomposable continuum. Herein we describe properties of $X$ that are necessary and sufficient in orde
Externí odkaz:
http://arxiv.org/abs/1703.06862
Autor:
Lipham, David Sumner
Publikováno v:
Fundamenta Mathematicae 240 (2018)
A connected topological space is said to be widely-connected if each of its non-degenerate connected subsets is dense in the entire space. The object of this paper is the construction of widely-connected subsets of the plane. We give a completely met
Externí odkaz:
http://arxiv.org/abs/1608.00292
Autor:
Lipham, David Sumner
Publikováno v:
In Topology and its Applications 15 June 2019 260:104-115