Baire's space of permutations of $N$ and rearrangements of series

Authors

  • Tibor Šalát Comenius University, Mlynská dolina, 842 15 Bratislava, Slovakia Author

Keywords:

Rearrangements of series, Baire'sspace, set of first category, residual set, $\sigma$-porosity, strong porosity

Subjects:

40A05

Abstract

In the first part of the paper we investigate the structure of the space $(S,d)$ of all sequences of positive integers with Baire's metric. In the second part we study properties of the space $(E,d)$ of all permutations of $N$ in connection with rearrangements of non-absolutely convergent series.

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Published

1999-04-15

Issue

Vol. 51 No. 1–2 (1999): Vol. 51, Issue 1–2

Section

Articles

License

Copyright (c) 1999 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.