- Tytuł:
- The cohomology algebras of orientable Seifert manifolds and applications to Lusternik-Schnirelmann category
- Autorzy:
-
Bryden, J.
Zvengrowski, P. - Powiązania:
- https://bibliotekanauki.pl/articles/1341772.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
cup products
cup product length
Lusternik-Schnirelmann category
degree one maps
diagonal map
Seifert manifolds
cohomology algebra - Opis:
- This note gives a complete description of the cohomology algebra of any orientable Seifert manifold with ℤ/p coefficients, for an arbitrary prime p. As an application, the existence of a degree one map from an orientable Seifert manifold onto a lens space is completely determined. A second application shows that the Lusternik-Schnirelmann category for a large class of Seifert manifolds is equal to 3, which in turn is used to verify the Ganea conjecture for these Seifert manifolds.
- Źródło:
-
Banach Center Publications; 1998, 45, 1; 25-39
0137-6934 - Pojawia się w:
- Banach Center Publications
- Dostawca treści:
- Biblioteka Nauki
Artykuł