Reducible and $\partial $-reducible handle additions
نویسندگان
چکیده
منابع مشابه
Reducible and ∂-reducible Handle Additions
Let M be a simple 3-manifold with F a component of ∂M of genus at least two. For a slope α on F , we denote by M(α) the manifold obtained by attaching a 2-handle to M along a regular neighborhood of α on F . Suppose that α and β are two separating slopes on F such that M(α) and M(β) are reducible. Then the distance between α and β is at most 2. As a corollary, if g(F ) = 2, then there is at mos...
متن کاملBoundary reducible handle additions on simple 3 - manifolds
Let M be a simple manifold, and F be a component of ∂M of genus two. For a slope γ on F , we denote by M(γ) the manifold obtained by attaching a 2-handle to M along a regular neighborhood of γ on F . In this paper, we shall prove that there is at most one separating slope γ on F so that M(γ) is ∂-reducible.
متن کاملCompletely reducible sets
We study the family of rational sets of words, called completely reducible and which are such that the syntactic representation of their characteristic series is completely reducible. This family contains, by a result of Reutenauer, the submonoids generated by bifix codes and, by a result of Berstel and Reutenauer, the cyclic sets. We study the closure properties of this family. We prove a resu...
متن کاملReducible Complexity in Dns
DNS is one of the most important components of the Internet infrastructure. Unfortunately, it is known to be difficult to implement, and available implementations are difficult to configure correctly. DNS performance and availability often suffer from poor configuration which leads to unavailability or erroneous behavior of distributed systems that depend on DNS. The data structures of DNS are ...
متن کاملAre Dispositions Reducible?
Although this definition is open to decisive objections, most of which are not new, NCA is not yet dead. There are still those of us who ask, on the presupposition that NCA or something very similar is the correct analysis of dispositions, whether dispositions can explain their manifestations, or whether the bearers of nothing but dispositional properties can fill space, or whether colours are ...
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: Transactions of the American Mathematical Society
سال: 2008
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-08-04761-2