Topologically, quasiconformally or Lipschitz locally flat embeddings in codimension one
نویسندگان
چکیده
منابع مشابه
Amenability, Locally Finite Spaces, and Bi-lipschitz Embeddings
We define the isoperimetric constant for any locally finite metric space and we study the property of having isoperimetric constant equal to zero. This property, called Small Neighborhood property, clearly extends amenability to any locally finite space. Therefore, we start making a comparison between this property and other notions of amenability for locally finite metric spaces that have been...
متن کاملTHEOREM ON THE UNION OF TWO TOPOLOGICALLY FLAT CELLS OF CODIMENSION 1 IN Rn
In this paper we give a complete and improved proof of the “Theorem on the union of two (n− 1)-cells.” First time it was proved by the author in the form of reduction to the earlier author’s technique. Then the same reduction by the same method was carried out by Kirby. The proof presented here gives a more clear reduction. We also present here the exposition of this technique in application to...
متن کاملSingular Levi-flat Hypersurfaces and Codimension One Foliations
We study Levi-flat real analytic hypersurfaces with singularities. We prove that the Levi foliation on the regular part of the hypersurface can be holomorphically extended, in a suitable sense, to neighbourhoods of singular
متن کاملTOPOLOGICALLY STATIONARY LOCALLY COMPACT SEMIGROUP AND AMENABILITY
In this paper, we investigate the concept of topological stationary for locally compact semigroups. In [4], T. Mitchell proved that a semigroup S is right stationary if and only if m(S) has a left Invariant mean. In this case, the set of values ?(f) where ? runs over all left invariant means on m(S) coincides with the set of constants in the weak* closed convex hull of right translates of f. Th...
متن کاملOn Codimension Two Ribbon Embeddings
We consider codimension-2 ribbon knottings of circles and 2-spheres. We find that if a given ribbon knot has two ribbon disks, those disks are related by ambient isotopy together with a finite number of local modifications to be described. This allows a complete set of moves to be developed for the representation of ribbon 2-knots by abstract or planar graphs. Similar results hold for classical...
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: Annales Academiae Scientiarum Fennicae Series A I Mathematica
سال: 1983
ISSN: 0066-1953
DOI: 10.5186/aasfm.1983.0819