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On bisequentiality and spaces of strictly decreasing functions on trees

General Topology 2018-09-06 v1

Abstract

We present a characterization of spaces of strictly decreasing functions on trees in terms of bisequentiality. This characterization answers Questions 6.1 and 6.2 of "A filter on a collection of finite sets and Eberlein compacta" by T. Cie\'sla. Moreover we study the relation between these spaces and the classes of Corson, Eberlein and uniform Eberlein compacta.

Keywords

Cite

@article{arxiv.1809.01473,
  title  = {On bisequentiality and spaces of strictly decreasing functions on trees},
  author = {Claudio Agostini and Jacopo Somaglia},
  journal= {arXiv preprint arXiv:1809.01473},
  year   = {2018}
}

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9 pages