Dugundji spaces and topological groups
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 - 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 ordered topological spaces into topological semilattices.
Embedding S(X) into S(Y) [Book]
Embeddings in contractible or compact objects
Embeddings of n-dimensional locally compact metric spaces to 2n-manifolds.
Equivariant embeddings of -actions in euclidean space
Equivariant maps of -actions into polyhedra
General position properties in fiberwise geometric topology [Book]
Imbeddings in of m-dimensional compacta with dim(Х×Х)<2m
Imbeddings into and dimension of products
Isometric Embeddings of Pro-Euclidean Spaces
In [12] Petrunin proves that a compact metric space X admits an intrinsic isometry into En if and only if X is a pro-Euclidean space of rank at most n, meaning that X can be written as a “nice” inverse limit of polyhedra. He also shows that either case implies that X has covering dimension at most n. The purpose of this paper is to extend these results to include both embeddings and spaces which are proper instead of compact. The main result of this paper is that any pro-Euclidean space of rank...
Locally nice spaces under Martin's axiom
More on ordinals in topological groups
Let be an uncountable regular cardinal and a topological group. We prove the following statements: (1) If is homeomorphic to a closed subspace of , is Abelian, and the order of every non-neutral element of is greater than then embeds in as a closed subspace. (2) If is Abelian, algebraically generated by , and the order of every element does not exceed then is not embeddable in . (3) There exists an Abelian topological group such that is homeomorphic to a closed subspace...
No upper bound for cardinalities of Tychonoff C.C.C. spaces with a -diagonal exists (an answer to J. Ginsburg and R. G. Woods’ question)
Non-planar embeddings of planar sets in