Linear combinations of Cantor sets

J. Nymann

Colloquium Mathematicae (1995)

  • Volume: 68, Issue: 2, page 259-264
  • ISSN: 0010-1354

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Nymann, J.. "Linear combinations of Cantor sets." Colloquium Mathematicae 68.2 (1995): 259-264. <http://eudml.org/doc/210310>.

@article{Nymann1995,
author = {Nymann, J.},
journal = {Colloquium Mathematicae},
keywords = {fractal set; subsums; Cantor set},
language = {eng},
number = {2},
pages = {259-264},
title = {Linear combinations of Cantor sets},
url = {http://eudml.org/doc/210310},
volume = {68},
year = {1995},
}

TY - JOUR
AU - Nymann, J.
TI - Linear combinations of Cantor sets
JO - Colloquium Mathematicae
PY - 1995
VL - 68
IS - 2
SP - 259
EP - 264
LA - eng
KW - fractal set; subsums; Cantor set
UR - http://eudml.org/doc/210310
ER -

References

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  1. [1] E. Barone, Sul codominio di misure e di masse finite, Rend. Mat. Appl. 3 (2) (1983), 229-238. 
  2. [2] J. A. Guthrie and J. E. Nymann, The topological structure of the set of subsums of an infinite series, Colloq. Math. 55 (1988), 323-327. Zbl0719.40004
  3. [3] H. Hornich, Über beliebige Teilsummen absolut konvergenter Reihen, Monatsh. Math. Phys. 49 (1941), 316-320. Zbl0024.26001
  4. [4] S. Kakeya, On the partial sums of an infinite series, Tôhoku Sci. Rep. 3 (4) (1914), 159-164. Zbl45.0377.06
  5. [5] S. Koshi and H.-C. Lai, The ranges of set functions, Hokkaido Math. J. 10, special issue (1981), 348-360. Zbl0489.28002
  6. [6] P. K. Menon, On a class of perfect sets, Bull. Amer. Math. Soc. 54 (1948), 706-711. Zbl0032.27304
  7. [7] J. E. Nymann, The sum of the Cantor set with itself, Enseign. Math. 39 (1993), 177-178. Zbl0859.28005
  8. [8] M. Pavone, The Cantor set and a geometric construction, ibid. 35 (1989), 41-49. Zbl0702.11006
  9. [9] J. Shallit, Q785, Math. Mag. 64 (5) (1991), 351 and 357. 
  10. [10] P. Mendes and F. Oliveira, On the topological structure of the arithmetic sum of two Cantor sets, Nonlinearity 7 (1994), 329-343. Zbl0839.54027

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