منابع مشابه
Ganea and Whitehead Definitions for the Tangential Lusternik-schnirelmann Category of Foliations
This work solves the problem of elaborating Ganea and Whitehead definitions for the tangential category of a foliated manifold. We develop these two notions in the category S-Top of stratified spaces, that are topological spaces endowed with a partition and compare them to a third invariant defined by using open sets. More precisely, these definitions apply to an element (X,F) of S-Top together...
متن کاملCategory of $H$-groups
This paper develops a basic theory of $H$-groups. We introduce a special quotient of $H$-groups and extend some algebraic constructions of topological groups to the category of H-groups and H-maps and then present a functor from this category to the category of quasitopological groups.
متن کاملRigidity of horospherical foliations
M . Ratner's theorem on the rigidity of horocycle flows is extended to the rigidity of horospherical foliations on bundles over finite-volume locally-symmetric spaces of non-positive sectional curvature, and to other foliations of the same algebraic form.
متن کاملJets of Singular Foliations
Given a singular foliation satisfying locally everywhere the Frobenius condition, even at the singularities, we show how to construct its global sheaves of jets. Our construction is purely formal, and thus applicable in a variety of contexts.
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
سال: 2003
ISSN: 0040-9383
DOI: 10.1016/s0040-9383(02)00021-6