Embeddable spaces and duality in topological categories
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 Cantor sets in a manifold. III. Approximating spheres
Embedding certain compactifications of a half-ray
Embedding compacta up to shape
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 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 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 presheaves into dual unit balls
Embedding of the category of partially ordered sets into the category of topological spaces category of topological spaces
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 quasi-metric spaces in Hilbert spaces.
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.
Embedding topological semigroups into the hyperspaces over topological groups