An application of the theory of isosceles (ultrametric) spaces to the Trnková-Vinárek theorem
An approach to fixed points in product spaces.
An approximation method for continuous pseudocontractive mappings.
An attraction result and an index theorem for continuous flows on
We study the behavior of a continuous flow near a boundary. We prove that if φ is a flow on for which is an invariant set and S ⊂ ∂E is an isolated invariant set, with non-zero homological Conley index, then there exists an x in EE such that either α(x) or ω(x) is in S. We also prove an index theorem for a flow on .
An embedding theorem for semigroups of continuous selfmaps.
An Equivariant Extension Theorem and G-Retracts with a Finite Structure.
An example of 2-dimensional quasihomeomorphic sets
An example of a genuinely discontinuous generically chaotic transformation of the interval
It is proved that a piecewise monotone transformation of the unit interval (with a countable number of pieces) is generically chaotic. The Gauss map arising in connection with the continued fraction expansions of the reals is an example of such a transformation.
An example of a group convergence with unique sequential limits which cannot be associated with a Hausdorff topology
An example of a non-compact locally compact arcwise connected metric space with the fixed point property
An example of infinitely many sinks for smooth interval maps.
An example of semilinear topologies.
An existence theorem via an intuitive idea and fixed-point theorems
An exotic flow on a compact surface
In 1988 Anosov [1] published the construction of an example of a flow (continuous real action) on a cylinder or annulus with a phase portrait strikingly different from our normal experience. It contains orbits whose -limit sets contain a non-periodic orbit along with a simple closed curve of fixed points, but these orbits do not wrap down on this simple closed curve in the usual way. In this paper we modify some of Anosov’s methods to construct a flow on a surface of genus with equally striking...
An extension of A. Ostrowski's Theorem on the round-off stability of iterations.
An extension of Edelstein's theorem to a uniform space.
An extension of Gregus fixed point theorem.
An extension of Kirk-Schöneberg theorem to uniform spaces
An extension of Kirk - Schöneberg surjectivity result is established.
An extension of the Stone representation for orthomodular lattices
An extension to the non-metric case of a theorem of Glasner.