3 papers
math.GM2004
Coxeter groups of stellar manifolds
Sergey Nikitin
It is well known that a compact two dimensional surface is homeomorphic to a polygon with the edges identified in pairs. This paper not only presents a new proof of this statement…
math.GM2002
On a stellar structure for a stellar manifold
Sergey Nikitin
It is well known that a compact two dimensional surface is homeomorphic to a polygon with the edges identified in pairs. This paper not only presents a new proof of this statement…
math.GM2002
Proof of the Poincare' conjecture
Sergey Nikitin
This paper proves that any compact, closed, simply connected and connected three dimensional stellar manifold is stellar equivalent to the three dimensional sphere.