Add to ORKGAbstract. Let X be a topological graph; i.e., a union of finitely many points and arcs, with arcs joined only at end points. If Y is any locally connected metrizable compactum that is co-elementarily equivalent to X, then Y is homeomorphic to X. In particular, X and Y are homeomorphic if some lattice base for one is elementarily equivalent to some lattice base for the other. 1. introduction This paper is about the model-theoretic topology of compact Hausdorff spaces— also referred to as compacta—and our aim is to show that any topological graph is categorical, relative to the class of compacta that are locally connected and metrizable. As the term categorical has a range of interpretations, we begin with a general description of how it is u...
This paper demonstrates that the topology of a compact topological lattice or semilattice can be def...
A topological classification scheme consists of two ingredients: (1) an abstract class K of topologi...
A topological classification scheme consists of two ingredients: (1) an abstract class K of topologi...
Abstract. Let X be a topological graph; i.e., a union of finitely many points and arcs, with arcs jo...
Let X be a topological graph, with arcs joined only at end points. If Y is any locally connected met...
Let X be a topological graph, with arcs joined only at end points. If Y is any locally connected met...
Abstract. A topological classification scheme consists of two ingredients: (1) an abstract class X o...
In this paper we use the Hausdorff metric to prove that two compact metric spaces are homeomorphic i...
I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, includ...
AbstractRecent development of the theory of general topological vector spaces (without local convexi...
AbstractLet Γ be a countable locally finite graph and let H(Γ) and H+(Γ) denote the homeomorphism gr...
The deck of a topological space $X$ is the set $\mathcal{D}(X)=\{[X \setminus \{x\}] \colon x \in X\...
The idea of topological equivalence, or homeomorphism, is one of the most basic in any study of topo...
The idea of topological equivalence, or homeomorphic, is one of the basic considerations in any stud...
In [3], Kada and Tomoyasu defined some cardinal characteristics concern-ing approximating the Stone-...
This paper demonstrates that the topology of a compact topological lattice or semilattice can be def...
A topological classification scheme consists of two ingredients: (1) an abstract class K of topologi...
A topological classification scheme consists of two ingredients: (1) an abstract class K of topologi...
Abstract. Let X be a topological graph; i.e., a union of finitely many points and arcs, with arcs jo...
Let X be a topological graph, with arcs joined only at end points. If Y is any locally connected met...
Let X be a topological graph, with arcs joined only at end points. If Y is any locally connected met...
Abstract. A topological classification scheme consists of two ingredients: (1) an abstract class X o...
In this paper we use the Hausdorff metric to prove that two compact metric spaces are homeomorphic i...
I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, includ...
AbstractRecent development of the theory of general topological vector spaces (without local convexi...
AbstractLet Γ be a countable locally finite graph and let H(Γ) and H+(Γ) denote the homeomorphism gr...
The deck of a topological space $X$ is the set $\mathcal{D}(X)=\{[X \setminus \{x\}] \colon x \in X\...
The idea of topological equivalence, or homeomorphism, is one of the most basic in any study of topo...
The idea of topological equivalence, or homeomorphic, is one of the basic considerations in any stud...
In [3], Kada and Tomoyasu defined some cardinal characteristics concern-ing approximating the Stone-...
This paper demonstrates that the topology of a compact topological lattice or semilattice can be def...
A topological classification scheme consists of two ingredients: (1) an abstract class K of topologi...
A topological classification scheme consists of two ingredients: (1) an abstract class K of topologi...