-sequential envelopes
Ein Analogen des Urysohnschen Fortsetzungssatzes für nichtarchimedische Körper.
Ein elementarer Zugang zur Leray-Schauder-Theorie
Ein Konvergenzsatz für eine gewisse Klasse kompakter Punktmengen.
Eine Bemerkung zur topologischen Entropie.
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 certain compactifications of a half-ray
Embedding in Dugundji spaces, with an application to linear topological classification of spaces of continuous functions
Embedding in - spaces
Embedding into discretely absolutely star-Lindelöf spaces
A space is discretely absolutely star-Lindelöf if for every open cover of and every dense subset of , there exists a countable subset of such that is discrete closed in and , where . We show that every Hausdorff star-Lindelöf space can be represented in a Hausdorff discretely absolutely star-Lindelöf space as a closed subspace.
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 of the ordinal segment into continuous images of Valdivia compacta
We prove in particular that a continuous image of a Valdivia compact space is Corson provided it contains no homeomorphic copy of the ordinal segment . This generalizes a result of R. Deville and G. Godefroy who proved it for Valdivia compact spaces. We give also a refinement of their result which yields a pointwise version of retractions on a Valdivia compact space.
Embedding ordered topological spaces into topological semilattices.
Embedding polydisk algebras into the disk algebra and an application to stable ranks
It is shown how to embed the polydisk algebras (finite and infinite ones) into the disk algebra A(𝔻̅). As a consequence, one obtains uniform closed subalgebras of A(𝔻̅) which have arbitrarily prescribed stable ranks.
Embedding S(X) into S(Y) [Book]
Embedding S(X) into S(Y) when Y is compact and S is not.
Embeddings in contractible or compact objects
Embeddings of n-dimensional locally compact metric spaces to 2n-manifolds.
Emploi des filtres sur N dans l'étude descriptive des fonctions
Entropic approximation in kinetic theory
Approximation theory in the context of probability density function turns out to go beyond the classical idea of orthogonal projection. Special tools have to be designed so as to respect the nonnegativity of the approximate function. We develop here and justify from the theoretical point of view an approximation procedure introduced by Levermore [Levermore, J. Stat. Phys. 83 (1996) 1021–1065] and based on an entropy minimization principle under moment constraints. We prove in particular a global...