Endomorphisms of substitution minimal sets
β Scribed by Ethan M. Coven
- Publisher
- Springer
- Year
- 1971
- Tongue
- English
- Weight
- 270 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1432-2064
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π SIMILAR VOLUMES
## A map u from a linearly ordered finite set into itself induces a matrix A(a). If u is a cyclic permutation, A(o) is either primitive or reducible. In the latter case the characteristic polynomial of A(u) has a product decomposition. If u is monotonic, then both factors arise from the characterist
A linear extension x1x2. . . x, of a partially or&red set P has a bump whenever Xi <xi+1 in P. The bump number problem is to find a linear extension of P with the smallest possible number of bumps. We present a basic decomposition theorem for this problem. This leads to simple formulae for the bump