DOAJ Open Access 2013

Euler flag enumeration of Whitney stratified spaces

Richard Ehrenborg Mark Goresky Margaret Readdy

Lihat Sumber DOI

Abstrak

We show the $\mathrm{cd}$-index exists for Whitney stratified manifolds by extending the notion of a graded poset to that of a quasi-graded poset. This is a poset endowed with an order-preserving rank function and a weighted zeta function. This allows us to generalize the classical notion of Eulerianness, and obtain a $\mathrm{cd}$-index in the quasi-graded poset arena. We also extend the semi-suspension operation to that of embedding a complex in the boundary of a higher dimensional ball and study the shelling components of the simplex.

Topik & Kata Kunci

Mathematics

Penulis (3)

Richard Ehrenborg

Mark Goresky

Margaret Readdy

Format Sitasi

APA MLA BibTeX

Ehrenborg, R., Goresky, M., Readdy, M. (2013). Euler flag enumeration of Whitney stratified spaces. https://doi.org/10.46298/dmtcs.12799

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.12799

Informasi Jurnal

Tahun Terbit: 2013
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.12799
Akses: Open Access ✓