Vertex transitive maps on the Klein bottle
نویسندگان
چکیده
منابع مشابه
Minimal Sets of Periods for Maps on the Klein Bottle
The main results concern with the self maps on the Klein bottle. We obtain the Reidemeister numbers and the Nielsen numbers for all self maps on the Klein bottle. In terms of the Nielsen numbers of their iterates, we totally determine the minimal sets of periods for all homotopy classes of self maps on the Klein bottle.
متن کاملUniqueness of Walkup's 9-vertex 3-dimensional Klein bottle
Via a computer search, Altshuler and Steinberg found that there are 1296 + 1 combinatorial 3-manifolds on nine vertices, of which only one is non-sphere. This exceptional 3-manifold K 9 triangulates the twisted S -bundle over S . It was first constructed by Walkup. In this paper, we present a computer-free proof of the uniqueness of this non-sphere combinatorial 3-manifold. As opposed to the co...
متن کاملWecken Type Problems for Self-maps of the Klein Bottle
We consider various problems regarding roots and coincidence points for maps into the Klein bottle K . The root problem where the target is K and the domain is a compact surface with non-positive Euler characteristic is studied. Results similar to those when the target is the torus are obtained. The Wecken property for coincidences from K to K is established, and we also obtain the following 1-...
متن کاملOn topological transitive maps on operator algebras
We consider the transitive linear maps on the operator algebra $B(X)$for a separable Banach space $X$. We show if a bounded linear map is norm transitive on $B(X)$,then it must be hypercyclic with strong operator topology. Also we provide a SOT-transitivelinear map without being hypercyclic in the strong operator topology.
متن کاملDrawing Disconnected Graphs on the Klein Bottle
Résumé We prove that two disjoint graphs must always be drawn separately on the Klein bottle in order to minimize the crossing number of the whole drawing.
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: Ars Mathematica Contemporanea
سال: 2011
ISSN: 1855-3974,1855-3966
DOI: 10.26493/1855-3974.133.bf8