Daron Anderson

activity

20192025

most citedIndecomposable Continuum with a Strong Non-Cut Point

1 citations · 3 across the 6 of their papers we have counts for

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math.GN2020

Separable Indecomposable Continuum with Exactly One Composant

Daron Anderson

Indecomposable continua with one composant are $large$ in the sense of being non-metrisable. We adapt the method of Smith $[18]$ to construct an example which is $\textit{…

math.GN2020★ 1 cited

Indecomposable Continuum with a Strong Non-Cut Point

Daron Anderson

We construct an indecomposable continuum with exactly one strong non-cut point. The method is an adaptation of Bellamy $[1]$ . We start with an $ω_{1}$ -chain of indecomposable metric…

math.GN2020

The Shore Point Existence Problem is Equivalent to the Non-Block Point Existence Problem

Daron Anderson

We prove the three propositions are equivalent: $(a)$ Every Hausdorff continuum has two or more shore points. $(b)$ Every Hausdorff continuum has two or more non-block points. $(c)…

math.GN2020

Continuum Without Non-Block Points

Daron Anderson

For any composant $E \subset H^{*}$ and corresponding near-coherence class $E \subset ω^{*}$ we prove the following are equivalent : (1) $E$ properly contains a dense…

math.GN2020

Shore and Non-Block Points in Hausdorff Continua

Daron Anderson

We study the shore and non-block points of non-metric continua. We reduce the problem of showing a continuum to have non-block points to that of showing an indecomposable continuum…