𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Partitions of vector spaces

✍ Scribed by P. Komjáth

Publisher
Springer Netherlands
Year
1994
Tongue
English
Weight
300 KB
Volume
28
Category
Article
ISSN
0031-5303

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Partitions of finite vector spaces into
Partitions of finite vector spaces into subspaces
✍ S. I. El-Zanati; G. F. Seelinger; P. A. Sissokho; L. E. Spence; C. Vanden Eynden 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 143 KB

## Abstract Let __V__~n~(q) denote a vector space of dimension __n__ over the field with __q__ elements. A set ${\cal P}$ of subspaces of __V__~n~(q) is a __partition__ of __V__~n~(q) if every nonzero element of __V__~n~(q) is contained in exactly one element of ${\cal P}$. Suppose there exists a p

Balanced partitions of vector sequences
Balanced partitions of vector sequences
✍ Imre Bárány; Benjamin Doerr 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 108 KB

Let d, r ∈ N and • be any norm on R d . Let B denote the unit ball with respect to this norm. We show that any sequence v 1 , v 2 , . . . of vectors in B can be partitioned into r subsequences V 1 , . . ., V r in a balanced manner with respect to the partial sums: For all n ∈ N, r, we have i k,v i ∈

Bohr topologies and partition theorems f
Bohr topologies and partition theorems for vector spaces
✍ Kenneth Kunen 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 763 KB

We prove a Ramsey-style theorem for sequences of vectors in an infinite-dimensional vector space over a finite field. As an application of this theorem, we prove that there are countably infinite Abelian groups whose Bohr topologies are not homeomorphic.