Each concrete category has a representation by paracompact topological spaces
Eberlein spaces of finite metrizability number
Yakovlev [On bicompacta in -products and related spaces, Comment. Math. Univ. Carolin. 21.2 (1980), 263–283] showed that any Eberlein compactum is hereditarily -metacompact. We show that this property actually characterizes Eberlein compacta among compact spaces of finite metrizability number. Uniformly Eberlein compacta and Corson compacta of finite metrizability number can be characterized in an analogous way.
Eine Charakterisierung K-kompakter topologischer Räume.
Eine Galois-Korrespondenz in der Topologie.
Eine Kennzeichnung topologischer Räume durch Vervollständigungen.
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 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 S(X) into S(Y) when Y is compact and S is not.
Embeddings in contractible or compact objects
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...
Epics in the category of k-groups need not have dense range
Epimorphims and cowellpoweredness of epireflective subcategories of Top
Epireflections in the category of -spaces
Equiconnectivity and Cofibrations I.
Equilateral sets in Banach spaces of the form C(K)
We show that for "most" compact nonmetrizable spaces, the unit ball of the Banach space C(K) contains an uncountable 2-equilateral set. We also give examples of compact nonmetrizable spaces K such that the minimum cardinality of a maximal equilateral set in C(K) is countable.
Equivariant embeddings and compactifications of free -spaces.
Errata to "Lindelöf indestructibility, topological games and selection principles" (Fund. Math. 210 (2010), 1-46)
In [Fund. Math. 210 (2010), 1-46] we claimed the truth of two statements, one now known to be false and a second lacking a proof. In this "Errata" we report these matters in the interest of setting the record straight on the status of these claims.
Errata to the paper “On paracompact locales and metric locales”