Criterios De Convergencia Secuencial.
Critical points of abstract dynamical systems
C-scattered and paracompact spaces
C-separated sets and unicoherence
Curves which are continuous images of tree-like continua are movable
Cut points in abcohesive, aposyndetic, and semi-locally connected spaces.
Cutting description of trivial 1-cohomology
A characterisation of trivial 1-cohomology, in terms of some connectedness condition, is presented for a broad class of metric spaces.
C(X) vs. C(X) modulo its socle
Let be the socle of C(X). It is shown that each prime ideal in is essential. For each h ∈ C(X), we prove that every prime ideal (resp. z-ideal) of C(X)/(h) is essential if and only if the set Z(h) of zeros of h contains no isolated points (resp. int Z(h) = ∅). It is proved that , where dim C(X) denotes the Goldie dimension of C(X), and the inequality may be strict. We also give an algebraic characterization of compact spaces with at most a countable number of nonisolated points. For each essential...
Cycles of distance-decreasing mappings in the ring of n-adic integers
We give a description of possible sets of cycle lengths for distance-decreasing maps and isometries of the ring of n-adic integers.
Cycles of links and fixed points for orientation preserving homeomorphisms of the open unit disk
Michael Handel proved the existence of a fixed point for an orientation preserving homeomorphism of the open unit disk that can be extended to the closed disk, provided that it has points whose orbits form an oriented cycle of links at infinity. More recently, the author generalized Handel's theorem to a wider class of cycles of links. In this paper we complete this topic describing exactly which are all the cycles of links forcing the existence of a fixed point.
Cyclic Type Fixed Point Results in 2-Menger Spaces
In this paper we introduce generalized cyclic contractions through number of subsets of a probabilistic 2-metric space and establish two fixed point results for such contractions. In our first theorem we use the Hadzic type -norm. In another theorem we use a control function with minimum -norm. Our results generalizes some existing fixed point theorem in 2-Menger spaces. The results are supported with some examples.
Cylinder cocycle extensions of minimal rotations on monothetic groups
The main results of this paper are: 1. No topologically transitive cocycle -extension of minimal rotation on the unit circle by a continuous real-valued bounded variation ℤ-cocycle admits minimal subsets. 2. A minimal rotation on a compact metric monothetic group does not admit a topologically transitive real-valued cocycle if and only if the group is finite.
Cylinders over λ-dendroids have the fixed point property
It is proved that the cylinder X × I over a λ-dendroid X has the fixed point property. The proof uses results of [9] and [10].
-sets, irresolvable and resolvable spaces
-proximity spaces
Darboux type properties of the paratingent
In this paper we consider the Darboux type properties for the paratingent. We review some of the standard facts on the multivalued functions and the paratingent. We prove that the paratingent has always the Darboux property but the property D* holds only when the paratingent is a multivalued function.
Darstellungen von Matrizengruppen über topologischen Körpern
Das Produkt von Hüllenstrukturen
D-dimension in non-metrizable spaces.
Decisive Convergence Spaces.