An extension theorem for D-normal spaces
β Scribed by Harald Brandenburg
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 407 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Given a Steiner system S(2,k-1;v) with v>~vo(k), there is a 3-design Sa(3, k;v+ t) such that the derived design is 2 copies of the Steiner system for any 2 sufficiently large satisfying the standard arithmetic conditions. This theorem has applications in the construction of Steiner 3-designs.
A XORMAL FORM THEOREM FOR RECURSIVE OPERATORS Lemma 2. All elements of 9 ? and the element I are perfect. If E and rj are perfect elements of 9, then (t, q ) is also perfect. Proof. Obvious from the definition. L e m m a 3. Let [ be a perfect element of 9. Then Vp(L(p7, [) = 9 & R ( [ . y ) = 9).