EBERLEIN–ŠMULYAN THEOREM FOR ABELIAN TOPOLOGICAL
... Proposition 2. If X is an angelic space, then it is a g + IN + Š-space. We will see below that angelic spaces have quite good stability properties; nevertheless, the product of two angelic spaces may not be angelic. This fact motivated Govaerts [16] to define the strictly angelic spaces as those ang ...
... Proposition 2. If X is an angelic space, then it is a g + IN + Š-space. We will see below that angelic spaces have quite good stability properties; nevertheless, the product of two angelic spaces may not be angelic. This fact motivated Govaerts [16] to define the strictly angelic spaces as those ang ...
Metric Spaces in Synthetic Topology
... Proof: Take U ⊆ Y open. As f is continuous, f −1 (U) is open, hence metric open in X. Since f is a metric open surjection, U = f (f −1 (U)) is metric open in Y. ...
... Proof: Take U ⊆ Y open. As f is continuous, f −1 (U) is open, hence metric open in X. Since f is a metric open surjection, U = f (f −1 (U)) is metric open in Y. ...
homotopy types of topological stacks
... one to transport homotopical information back and forth between the diagram and its homotopy type. The above theorem has various applications. For example, it implies an equivariant version of Theorem 1.1 for the (weak) action of a discrete group. It also allows one to define homotopy types of pairs ...
... one to transport homotopical information back and forth between the diagram and its homotopy type. The above theorem has various applications. For example, it implies an equivariant version of Theorem 1.1 for the (weak) action of a discrete group. It also allows one to define homotopy types of pairs ...
TOPOLOGY PROCEEDINGS
... We give here a self-contained and unified exposition of some new and old results around two problems (A) and (B) mentioned above. We obtain several results which concentrate on similarities between group and semigroup cases. On the other hand we give also relevant contrasting counterexamples. 2. Mai ...
... We give here a self-contained and unified exposition of some new and old results around two problems (A) and (B) mentioned above. We obtain several results which concentrate on similarities between group and semigroup cases. On the other hand we give also relevant contrasting counterexamples. 2. Mai ...
FELL BUNDLES ASSOCIATED TO GROUPOID MORPHISMS §1
... and prove a structure theorem that states that every such bundle arises from a twisted groupoid covering. We also give various examples of abelian Fell bundles and an application of the structure theorem. §2. FELL BUNDLES OVER GROUPOIDS Recall the definition of a Fell bundle over a groupoid G (see [ ...
... and prove a structure theorem that states that every such bundle arises from a twisted groupoid covering. We also give various examples of abelian Fell bundles and an application of the structure theorem. §2. FELL BUNDLES OVER GROUPOIDS Recall the definition of a Fell bundle over a groupoid G (see [ ...