منابع مشابه
ON h-COBORDISMS OF SPHERICAL SPACE FORMS
Given a manifold M of dimension at least 4 whose universal covering is homeomorphic to a sphere, the main result states that a compact manifold W is isomorphic to a cylinder M × [0, 1] if and only if W is homotopy equivalent to this cylinder and the boundary is isomorphic to two copies of M ; this holds in the smooth, PL and topological categories. The result yields a classification of smooth, ...
متن کاملSmooth varieties up to A -homotopy and algebraic h-cobordisms
We start to study the problem of classifying smooth proper varieties over a field k from the standpoint of A-homotopy theory. Motivated by the topological theory of surgery, we discuss the problem of classifying up to isomorphism all smooth proper varieties having a specified A-homotopy type. Arithmetic considerations involving the sheaf of A-connected components lead us to introduce several di...
متن کاملCobordisms of Words
We introduce an equivalence relation, called cobordism, for words and produce cobordism invariants of words.
متن کاملCores of S - Cobordisms Of
The main result is that an s-cobordism (topological or smooth) of 4manifolds has a product structure outside a “core” sub s-cobordism. These cores are arranged to have quite a bit of structure, for example they are smooth and abstractly (forgetting boundary structure) diffeomorphic to a standard neighborhood of a 1-complex. The decomposition is highly nonunique so cannot be used to define an in...
متن کامل#-cobordisms with Foliated Control
We announce a foliated version of Ferry's metric h-cobordism theorem [13]. Let M be a compact Riemarinian manifold and 7 a smooth foliation of M such that the sectional curvatures of the leaves of 7 are zero. There are numbers a > 0 (depending only on dim(M)) and 6 > 0 (depending on M and 7) so that if W is an h-cobordism over M having 6 control in the directions perpendicular to 7 and having a...
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: Topology and its Applications
سال: 2018
ISSN: 0166-8641
DOI: 10.1016/j.topol.2018.09.013