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1988 | OriginalPaper | Buchkapitel

Proofs of Theorems B, C, and D

verfasst von : Mark Goresky, Robert MacPherson

Erschienen in: Stratified Morse Theory

Verlag: Springer Berlin Heidelberg

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Recall that a partially ordered set L is a geometric lattice if (a)it has a unique minimal element, 0(b)for each v∈Lall maximally ordered chains 0 = v0<v1<…<vp = v have the same number of elements, in which case we say the rank of v is p and we write p = r(v).(c)This function satisfies $$ r(v \wedge w) + r(v \vee w) \leqslant r(v) + r(w) $$(d)every element is a join of elements of rank 1

Metadaten
Titel
Proofs of Theorems B, C, and D
verfasst von
Mark Goresky
Robert MacPherson
Copyright-Jahr
1988
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-71714-7_28