Intrinsic transversality structures
نویسندگان
چکیده
منابع مشابه
Intrinsic computability over algebraic structures
The notion of computable function can be extended from the natural numbers to other domains, using an indexing. Usually, the choice of the indexing affects the set of computable functions and there is no intrinsic notion of computability over these domains. In this paper, we show that, in contrast, when we extend the notion of computable function to algebraic structures, we obtain an intrinsic ...
متن کاملAlexander Invariants and Transversality
We show that some of the main results in Laurentiu Maxim’s paper [10] can be obtained (even in a slightly more general setting) using the theory of perverse sheaves of finite rank over Q as described for instance in author’s recent book [3].
متن کاملTransversality in Generalized Manifolds
Suppose that X is a generalized n-manifold, n 5, satisfying the disjoint disks property, and M and Q are topologicalmand q-manifolds, respectively, 1-LCC embedded in X, with n m 3 and n q 3. We de ne what it means for M to be stably transverse to Q in X. In the metastable range, 3m 2(n 1) and 3(m+ q) < 4(n 1), we show that there is an arbitrarily small homotopy of M to a 1-LCC embedding that is...
متن کاملSymmetry Reduction without Transversality
We present a generalization of Lie’s method for finding the group invariant solutions to a system of partial differential equations. Our generalization relaxes the standard transversality assumption and encompasses the common situation where the reduced differential equations for the group invariant solutions involve both fewer dependent and independent variables. The theoretical basis for our ...
متن کاملTransversality for Z2-orbifolds
Equivariant transversality phenomena are studied for PL locally linear actions of the group with two elements. In this setting with stability assumptions, the obstruction to making a given map f : M ! N transverse to the xed set N Z 2 is given by an element of Sect(BL(M ; N) # M Z 2), i.e. a generalized cohomology class with twisted coeecients. Here BL(M ; N) is a spectrum whose homotopy groups...
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: Pacific Journal of Mathematics
سال: 1987
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1987.129.85