Linear combinations of Cantor sets

J. Nymann

Colloquium Mathematicae (1995)

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

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.