منابع مشابه
Embedding Solenoids
A generalized solenoid is an inverse limit space with bonding maps that are (regular) covering maps of closed compact manifolds. We study the embedding properties of solenoids in linear space and in foliations. A compact and connected topological space is called a continuum. A space X is homogeneous if for every x, y ∈ X there exists a homeomorphism h : X → X such that h(x) = y. The space is bi...
متن کاملSurfaces, circles, and solenoids
Previous work of the author has developed coordinates on bundles over the classical Teichmüller spaces of punctured surfaces and on the space of cosets of the Möbius group in the group of orientation-preserving homeomorphisms of the circle, and this work is surveyed here. Joint work with Dragomiř Sari´c is also sketched which extends these results to the setting of the Teichmüller space of the ...
متن کاملHomogeneous Weak Solenoids
A (generalized) weak solenoid is an inverse limit space over manifolds with bonding maps that are covering maps. If the covering maps are regular, then we call the inverse limit space a strong solenoid. By a theorem of M.C. McCord, strong solenoids are homogeneous. We show conversely that homogeneous weak solenoids are topologically equivalent to strong solenoids. We also give an example of a w...
متن کاملOn Composants of Solenoids
It is proved that any two composants of any two solenoids are home-omorphic.
متن کاملOn composants of solenoids
It is proved that any two composants of any two solenoids are homeomorphic.
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: 2011
ISSN: 0166-8641
DOI: 10.1016/j.topol.2011.04.010