The Nucleus of a Set
Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 65-72
Voir la notice de l'article provenant de la source Cambridge University Press
Consider the subset containing those functions for which One never attempts to visualize ; it is just a compact blur in the infinite-dimensional space . Nevertheless, we want to establish that it shares with several other sets an odd but rather remarkable "geometric" property: it is overwhelmingly concentrated around a single element. This element we call the nucleus of .
Strang, Gilbert. The Nucleus of a Set. Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 65-72. doi: 10.4153/CMB-1968-009-8
@article{10_4153_CMB_1968_009_8,
author = {Strang, Gilbert},
title = {The {Nucleus} of a {Set}},
journal = {Canadian mathematical bulletin},
pages = {65--72},
year = {1968},
volume = {11},
number = {1},
doi = {10.4153/CMB-1968-009-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-009-8/}
}
[1] 1 Kolmogorov, A.N. and Tihomirov, V.M., ∈-entropy and ∈ - capacity of sets in functional spaces, Uspehi Mat. 14(1959) 3-86; American Math, Soc. Translations 17 (1961) 277–364. Google Scholar
Cité par Sources :