We introduce the concept of a bounded below set in a lattice. This can be used to give a generalization of Rota's broken circuit theorem to any finite lattice. We then show how this result can be used to compute and combinatorially explain the Mo bius function in various examples including non-cross
Möbius reparametrizations of rational B-splines
✍ Scribed by E.T.Y. Lee; Miriam L. Lucian
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 170 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0167-8396
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Let G be a group acting effectively on a Hausdorff space X, and let Y be an open dense subset of X. We show that the inverse monoid generated by elements of G regarded as partial functions on Y is an F-inverse monoid whose maximum group image is isomorphic to G. We also describe the monoid in terms
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