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Compactifications of indecomposable topological spaces
Lipham, David (2017-04-20)
A continuum is a compact and connected topological space. A continuum that is not the union of any two of its proper subcontinua is said to be indecomposable. We examine topological spaces which are closely related to ...
The Stone-Čech Compactification and the Number of Pairwise Nonhomeomorphic Subcontinua of β[0,∞)\[0,∞)
Lipham, David (2014-05-02)
An introduction to the Stone-Čech compactification $\beta X$ of a normal topological space $X$ is given. The method of invariantly embedding linear orders into ultrapowers is used to find $2^{\mathfrak{c}}$ pairwise ...