We establish that the powerset P(R) of the real line R, ordered by set-inclusion, has the same ordertype as a certain subset of P(R) ordered by homeomorphic embeddability. This is a contribution to the ongoing study of the possible ordertypes of subfamilies of P(R) under embeddability, pioneered by
Representing systems of subspaces
β Scribed by Yu. F. Korobeinik
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1985
- Tongue
- English
- Weight
- 608 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
The main result of this paper can be quickly described as follows. Let G be a bipartite graph and assume that for any vertex v of G a strongly base orderable matroid is given on the set of edges adjacent with v. Call a subgraph of G a system of representatives of G if the edge neighborhood of each v
We consider the iterative solution of symmetric positive-definite linear systems whose coefficient matrix may be expressed as the outer product of low-rank terms. We derive suitable preconditioners for such systems, and demonstrate their effectiveness on a number of test examples. We also consider c