- Tytuł:
- Cell-like resolutions of polyhedra by special ones
- Autorzy:
-
Repovš, Dušan
Skopenkov, Arkady - Powiązania:
- https://bibliotekanauki.pl/articles/965832.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
banana and pineapple trick
cell-like resolution
Whitehead conjecture
special polyhedron
fake surface - Opis:
- Suppose that P is a finite 2-polyhedron. We prove that there exists a PL surjective map f:Q → P from a fake surface Q with preimages of f either points or arcs or 2-disks. This yields a reduction of the Whitehead asphericity conjecture (which asserts that every subpolyhedron of an aspherical 2-polyhedron is also aspherical) to the case of fake surfaces. Moreover, if the set of points of P having a neighbourhood homeomorphic to the 2-disk is a disjoint union of open 2-disks, and every point of P has an arbitrarily small 2-dimensional neighbourhood, then we may additionally conclude that Q is a special 2-polyhedron.
- Źródło:
-
Colloquium Mathematicum; 2000, 86, 2; 231-237
0010-1354 - Pojawia się w:
- Colloquium Mathematicum
- Dostawca treści:
- Biblioteka Nauki
Artykuł