A Note on Regular Coverings of Closed Orientable Surfaces
نویسندگان
چکیده
منابع مشابه
Regular Maps on Non-orientable Surfaces
It is well known that regular maps exist on the projective plane but not on the Klein bottle, nor the non-orientable surface of genus 3. In this paper several infinite families of regular maps are constructed to show that such maps exist on non-odentable surfaces of over 77 per cent of all possible genera. Mathematics Subject Classification (1991): 05C25.
متن کاملEnumeration of orientable coverings of a non-orientable manifold
In this paper we solve the known V.A. Liskovets problem (1996) on the enumeration of orientable coverings over a non-orientable manifold with an arbitrary finitely generated fundamental group. As an application we obtain general formulas for the number of chiral and reflexible coverings over the manifold. As a further application, we count the chiral and reflexible maps and hypermaps on a close...
متن کاملEnumerating branched orientable surface coverings over a non-orientable surface
The isomorphism classes of several types of graph coverings of a graph have been enumerated by many authors [M. Hofmeister, Graph covering projections arising from finite vector space over finite fields, Discrete Math. 143 (1995) 87–97; S. Hong, J.H. Kwak, J. Lee, Regular graph coverings whose covering transformation groups have the isomorphism extention property, Discrete Math. 148 (1996) 85–1...
متن کاملExact Cellular Decomposition of Closed Orientable Surfaces Embedded in R3
We address the task of covering a closed orientable surface embedded in < without any prior information about the surface. For applications such as paint deposition, the e ector (the paint atomizer) does not explicitly cover the target surface, but instead covers an o set surface | a surface that is a xed distance away from the target surface. Just as Canny and others use critical points to loo...
متن کاملRegular Homotopies of Low-Genus Non-Orientable Surfaces
This is a revised and extended version of Tech Report (EECS-2012-200) with the same title. The construction of various Klein bottles that belong to different regular homotopy classes, and which thus cannot be smoothly transformed into one another, is formally introduced. For all cases it is shown how these shapes can be partitioned into two Möbius bands and how the twistedness of these bands de...
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: Proceedings of the Glasgow Mathematical Association
سال: 1961
ISSN: 2040-6185,2051-2104
DOI: 10.1017/s2040618500034316