6 papers
On homeomorphisms and maps
Nikolaos E. Sofronidis
Our purpose in this article is first, following [8], to prove that if , are any points of the open unit disc in the complex plane and , are any pos…
On geometry and mechanics
Nikolaos E. Sofronidis
Our purpose in this article is first, following [14], to find the topological upper limits of projections of secant planes to surfaces and the topological upper limits of p…
Diffeomorphisms of the closed unit disc converging to the identity
Nikolaos E. Sofronidis
If is the group (under composition) of diffeomorphisms of the closed unit disc which are the identity…
Fixed point free homeomorphisms of the complex plane
Nikolaos E. Sofronidis
Our purpose in this article is to prove that the group of homeomorphisms of the complex plane is a metric group equipped with the metric induced by uniform c…
Variational inequalities
Nikolaos E. Sofronidis
If and is bounded, while solves the ty…
On continuous Polish group actions and equivalence relations
Nikolaos E. Sofronidis
Let $X = \left\{P \in [0,1]^{\bf N} : \left(\forall ν\in {\bf N} \right) \left(P \left(\{ν\} \right) > 0 \right) \wedge \sum\limits_{ν= 0}^{\infty} P \left(\{ν\} \right) = 1 \right…