On the subset combinatorics of G-spaces
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the subset combinatorics of G-spaces
|
|
| Creator |
Protasov, I.
Slobodianiuk, S. |
|
| Description |
Let G be a group and let X be a transitive G-space. We classify the subsets of X with respect to a translation invariant ideal J in the Boolean algebra of all subsets of X, introduce and apply the relative combinatorical derivations of subsets of X. Using the standard action of G on the Stone-ˇCech compactification βX of the discrete space X, we characterize the points p ∈ βX isolated in Gp and describe a size of a subset of X in terms of its ultracompanions in βX. We introduce and characterize scattered and sparse subsets of X from different points of view.
|
|
| Date |
2019-06-10T11:00:28Z
2019-06-10T11:00:28Z 2014 |
|
| Type |
Article
|
|
| Identifier |
On the subset combinatorics of G-spaces / I. Protasov, S. Slobodianiuk // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 1. — С. 98–109. — Бібліогр.: 16 назв. — англ.
1726-3255 2010 MSC:20F69, 22A15, 54D35. http://dspace.nbuv.gov.ua/handle/123456789/152346 |
|
| Language |
en
|
|
| Relation |
Algebra and Discrete Mathematics
|
|
| Publisher |
Інститут прикладної математики і механіки НАН України
|
|