Indecomposable nonorientable PD3–complexes
نویسندگان
چکیده
منابع مشابه
Indecomposable Polytopes
The space of summands (with respect to vector addition) of a convex polytope in n dimensions is studied. This space is shown to be isomorphic to a convex pointed cone in Euclidean space. The extreme rays of this cone correspond to similarity classes of indecomposable polytopes. The decomposition of a polytope is described and a bound is given for the number of indecomposable summands needed. A ...
متن کاملFoliations with Nonorientable Leaves
We prove that a codimension one foliation of an orientable paracompact manifold has at most a countable number of nonorientable leaves. We also give an example of a codimension one foliation of a compact orientable manifold with an infinite number of nonorientable leaves. Introduction. The purpose of this paper is to investigate the occurrence of nonorientable leaves in a codimension one foliat...
متن کاملOrientable and nonorientable minimal surfaces
We describe a theory of Morse-Conley type for orientable and nonorientable minimal surfaces of varying topological type solving Plateau problems in R 3 . 1991 Mathematics Subject Classification 53A10, 49F10, 58E12, 32G 15 After J. Douglas had solved Plateau's problem (this was also independently achieved by T. Rad6), he considered the problem of finding minimal surfaces of higher genus and/or c...
متن کاملCoincidence Classes in Nonorientable Manifolds
In this article we studied Nielsen coincidence theory for maps between manifolds of same dimension without hypotheses on orientation. We use the definition of semi-index of a class, we review the definition of defective classes and study the appearance of defective root classes. We proof a semi-index product formula type for lifting maps and we presented conditions such that defective coinciden...
متن کاملIndecomposable Coverings
We prove that for every k > 1, there exist k-fold coverings of the plane (1) with strips, (2) with axis-parallel rectangles, and (3) with homothets of any fixed concave quadrilateral, that cannot be decomposed into two coverings. We also construct, for every k > 1, a set of points P and a family of disks D in the plane, each containing at least k elements of P , such that no matter how we color...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2017
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2017.17.645