• Corpus ID: 235795248

Convergent sequences in various topological spaces

@inproceedings{Migacz2021ConvergentSI,
  title={Convergent sequences in various topological spaces},
  author={Dawid Migacz},
  year={2021}
}
The following paper is inspired by Efimov’s problem – an undecided problem of whether there exists an infinite compact topological space that does not contain neither non-trivial convergent sequences nor a copy of βω. After introducing the basic topological concepts, we present several classes of topological spaces in which such sequences can certainly be found, namely ordered, scattered, metrisable spaces and Valdivia compacta. We show that some cardinal coefficients set limits on the smallest… 

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