David Sumner Lipham

collaborators

4 papers

math.GN2019

Approximations by disjoint continua and a positive entropy conjecture

David Sumner Lipham

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 o…

math.GN2019

Compactification of cut-point spaces

David S. Lipham

We show that if $X$ is a separable locally compact Hausdorff connected space with fewer than $c$ non-cut points, then $X$ embeds into a dendrite $D \subseteq R^{2}$ …

math.GN2018

Singularities of meager composants and filament composants

David Sumner Lipham

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 connec…

math.GN2018

Embedding irreducible connected sets

David Sumner Lipham

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 $b$ …