Ein Beitrag zur Baire-Kategorie-Theorie.
Eine Bemerkung zu total beschränkten Mengen.
Eine Verallgemeinerung der Fixpunktsätze von Ehrmann und Schröder für quasimetrische limes-Räume.
Ekeland's principle for vector-valued maps based on the characterization of uniform spaces via families of generalized quasi-metrics.
Embedding of a planar rational compactum into a planar continuum with the same rim-type
We prove that every planar rational compactum with rim-type ≤ α, where α is a countable ordinal greater than 0, can be topologically embedded into a planar rational (locally connected) continuum with rim-type ≤ α.
Embedding quasi-metric spaces in Hilbert spaces.
Ends and quasicomponents
Let X be a connected locally compact metric space. It is known that if X is locally connected, then the space of ends (Freudenthal ends), EX, can be represented as the inverse limit of the set (space) S(X C) of components of X C, i.e., as the inverse limit of the inverse system . In this paper, the above result is significantly improved. It is shown that for a space which is not locally connected, we can replace the space of components by the space of quasicomponents Q(X C) of X C. The following...
Enlarging the convergence on the real line via metrizable group topologies
Ensembles bornés dans un espace uniforme
Entourage Uniformities for Frames.
Entropic dimension of uniform spaces
Entropies of self-mappings of topological spaces with richer structures
For mappings , where is a merotopic space equipped with a diameter function, we introduce and examine an entropy, called the -entropy. The topological entropy and the entropy of self-mappings of metric spaces are shown to be special cases of the -entropy. Some connections with other characteristics of self-mappings are considered. We also introduce and examine an entropy for subsets of , which is closely connected with the -entropy of .
Epireflections which are completions
Equiconnected spaces and Baire classification of separately continuous functions and their analogs
We investigate the Baire classification of mappings f: X × Y → Z, where X belongs to a wide class of spaces which includes all metrizable spaces, Y is a topological space, Z is an equiconnected space, which are continuous in the first variable. We show that for a dense set in X these mappings are functions of a Baire class α in the second variable.
Equi-reflective subcategories of uniform spaces
Equivalent contractive conditions in metric spaces.
Equivalent metrics and the spans of graphs
We present a result which affords the existence of equivalent metrics on a space having distances between certain pairs of points predetermined, with some restrictions. This result is then applied to obtain metric spaces which have interesting properties pertaining to the span, semispan, and symmetric span of metric continua. In particular, we show that no two of these variants of span agree for all simple closed curves or for all simple triods.
Equivalents Of The Variational Principle In Fuzzy And Probabilistic Metric Spaces
Equivariant embeddings of -actions in euclidean space
Equivariant maps of -actions into polyhedra