| Title:
|
Convergence preserving permutations of $\Bbb N$ and Fréchet's space of permutations of $\Bbb N$ (English) |
| Author:
|
Červeňanský, Jaroslav |
| Author:
|
Šalát, Tibor |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
49 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
189-199 |
| . |
| Category:
|
math |
| . |
| MSC:
|
40A05 |
| MSC:
|
54A10 |
| idZBL:
|
Zbl 0957.40001 |
| idMR:
|
MR1696942 |
| . |
| Date available:
|
2009-09-25T11:36:21Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131885 |
| . |
| Reference:
|
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| Reference:
|
[2] AGNEW R. P.: Permutations preserving convergence of series.Proc. Amer. Math. Soc. 6 (1995), 563-564. MR 0071559 |
| Reference:
|
[3] HOZO I.-MILLER H. I.: On Rieman's theorem about conditionally convergent series.Mat. Vesnik 38 (1986), 279-283. MR 0870948 |
| Reference:
|
[4] KNIPERS L.-NIEDERREITER H.: Uniform Distribution of Sequences.John Wiley, New York-London-Sydney-Toronto, 1974. MR 0419394 |
| Reference:
|
[5] KURATOWSKI, C: Topologie I.PWN, Warszava, 1958. |
| Reference:
|
[6] LÁSZLÓ V.-ŠALÁT T.: Uniformly distributed sequences of positive integers in Baire's space.Math. Slovaca 41 (1991), 277-281. Zbl 0757.11023, MR 1126664 |
| Reference:
|
[7] LEVI F. W.: Rearrangements of convergent series.Duke Math. J. 13 (1946), 579-585. MR 0019135 |
| Reference:
|
[8] PÁL L.: On a problem of theory of series.Mat. Lapok 12 (1961), 38-43. (Hungarian) MR 0145232 |
| Reference:
|
[9] PLEASANTS P. A. B.: Rearrangements that preserve convergence.J. London Math. Soc. (2) 15 (1977), 134-142. Zbl 0344.40001, MR 0432464 |
| Reference:
|
[10] ŠALÁT T.: Baire's space of permutations of N and rearrangements of series.(To appear). Zbl 1007.54032 |
| Reference:
|
[11] SENGUPTA H. M.: On rearrangements of series.Proc. Amer. Math. Soc. 1 (1950), 71-75. MR 0032786 |
| Reference:
|
[12] SENGUPTA H. M.: Rearrangements of series.Proc. Amer. Math. Soc. 7 (1956), 347-350. Zbl 0074.04404, MR 0078476 |
| Reference:
|
[13] SCHAEFER P.: Sum-preserving rearrangements of infinite series.Amer. Math. Monthly 88 (1981), 33-40. Zbl 0455.40007, MR 0619416 |
| Reference:
|
[14] STOUT Q. F.: On Levi's duality between permutations and convergent series.J. London Math. Soc. (2) 34 (1986), 67-80. Zbl 0633.40004, MR 0859149 |
| Reference:
|
[15] TKADLEC J.: Construction of some non-a-porous sets of real line.Real. Anal. Exchange 9 (1983-84), 473-482. MR 0766073 |
| Reference:
|
[16] ZAJÍČEK L.: Sets of $\sigma$-porosity and sets of $\sigma$-porosity $(q)$.Časopis Pěst. Mat. 101 (1976), 350-359. Zbl 0341.30026, MR 0457731 |
| Reference:
|
[17] ZAJICEK L.: Porosity and $\sigma$-porosity.Real Anal. Exchange 13 (1987-88), 314-350. Zbl 0666.26003, MR 0943561 |
| . |
