Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. I.
Global attractivity results for mixed-monotone mappings in partially ordered complete metric spaces.
Gluing Hyperconvex Metric Spaces
We investigate how to glue hyperconvex (or injective) metric spaces such that the resulting space remains hyperconvex. We give two new criteria, saying that on the one hand gluing along strongly convex subsets and on the other hand gluing along externally hyperconvex subsets leads to hyperconvex spaces. Furthermore, we show by an example that these two cases where gluing works are opposed and cannot be combined.
Goodwyn's theorem for sequential entropy on pseudocompact spaces
Graph topologies and uniform convergence in quasi-uniform spaces.
Graphs and common fixed point theorems for sequences of maps.
Green's L-relation for semigroups and compactifications.
Green's L-relation for semigroups and compactifications. (Short Communication).
Green's relations, the V relation and congruences on S(X).
Gregus-type common fixed point theorems for tangential multivalued mappings of integral type in metric spaces.
Group reflection and precompact paratopological groups
We construct a precompact completely regular paratopological Abelian group G of size (2ω)+ such that all subsets of G of cardinality ≤ 2ω are closed. This shows that Protasov’s theorem on non-closed discrete subsets of precompact topological groups cannot be extended to paratopological groups. We also prove that the group reflection of the product of an arbitrary family of paratopological (even semitopological) groups is topologically isomorphic to the product of the group reflections of the factors,...
Group Structures and Rectifiability in Powers of Spaces
We prove that if some power of a space X is rectifiable, then is rectifiable. It follows that no power of the Sorgenfrey line is a topological group and this answers a question of Arhangel’skiĭ. We also show that in Mal’tsev spaces of point-countable type, character and π-character coincide.
Groupoids, the Phragmen-Brouwer property, and the Jordan curve theorem.
Groups acting on covering spaces
Groups associated with minimal flows
Let be topological semigroup, we consider an appropriate semigroup compactification of . In this paper we study the connection between subgroups of a maximal group in a minimal left ideal of , which arise as equivalence classes of some closed left congruence, and the minimal flow characterized by the left congruence. A particular topology is defined on a maximal group and it is shown that a closed subgroup under this topology is precisely the intersection of an equivalence class with the maximal...
Groups of homeomorphisms and normal subgroups of the group of permutations.
Gyration numbers for involutions of subshifts of finite type II.
Gyration numbers for involutions of subshifts of finite type I.
Gδ -sets in topological spaces and games
Players ONE and TWO play the following game: In the nth inning ONE chooses a set from a prescribed family ℱ of subsets of a space X; TWO responds by choosing an open subset of X. The players must obey the rule that for each n. TWO wins if the intersection of TWO’s sets is equal to the union of ONE’s sets. If ONE has no winning strategy, then each element of ℱ is a -set. To what extent is the converse true? We show that: (A) For ℱ the collection of countable subsets of X: 1. There are subsets...