Each concrete category has a representation by paracompact topological spaces
Each nowhere dense nonvoid closed set in Rn is a σ-limit set
We discuss main properties of the dynamics on minimal attraction centers (σ-limit sets) of single trajectories for continuous maps of a compact metric space into itself. We prove that each nowhere dense nonvoid closed set in , n ≥ 1, is a σ-limit set for some continuous map.
Egoroff, σ, and convergence properties in some archimedean vector lattices
An archimedean vector lattice A might have the following properties: (1) the sigma property (σ): For each there are and a ∈ A with λₙaₙ ≤ a for each n; (2) order convergence and relative uniform convergence are equivalent, denoted (OC ⇒ RUC): if aₙ ↓ 0 then aₙ → 0 r.u. The conjunction of these two is called strongly Egoroff. We consider vector lattices of the form D(X) (all extended real continuous functions on the compact space X) showing that (σ) and (OC ⇒ RUC) are equivalent, and equivalent...
Eigentlich operierende Gruppen von Isometrien
Eine Bemerkung zur topologischen Entropie.
Eine Kennzeichnung topologischer Räume durch Vervollständigungen.
Eine Verallgemeinerung der Fixpunktsätze von Ehrmann und Schröder für quasimetrische limes-Räume.
Einige Abbildungen Von β-Typus (Der Fixpunkt)
El teorema del punto fijo sin homología: un enfoque combinatorio.
Ellis groups of quasi-factors of minimal flows
A quasi-factor of a minimal flow is a minimal subset of the induced flow on the space of closed subsets. We study a particular kind of quasi-factor (a 'joining' quasi-factor) using the Galois theory of minimal flows. We also investigate the relation between factors and quasi-factors.
Embedding a topological group into a connected group
It was proved in [HM] that each topological group (G,·,τ) may be embedded into a connected topological group (Ĝ,•,τ̂). In fact, two methods of introducing τ̂ were given. In this note we show relations between them.
Embedding inverse limits of nearly Markov interval maps as attracting sets of planar diffeomorphisms
In this paper we address the following question due to Marcy Barge: For what f:I → I is it the case that the inverse limit of I with single bonding map f can be embedded in the plane so that the shift homeomorphism extends to a diffeomorphism ([BB, Problem 1.5], [BK, Problem 3])? This question could also be phrased as follows: Given a map f:I → I, find a diffeomorphism so that F restricted to its full attracting set, , is topologically conjugate to . In this situation, we say that the inverse...
Embedding ordered topological spaces into topological semilattices.
Embedding set configuration spaces into those of Ruelle's point configurations
Embedding S(X) into S(Y) [Book]
Embedding S(X) into S(Y) when Y is compact and S is not.
Embeddings in iteration groups and semigroups with nontrivial units.
Enden von Räumen mit eigentlichen Transformationsgruppen
Enlarging the convergence on the real line via metrizable group topologies
Ensembles analytiques, théorèmes de séparation et applications