Semitopological homomorphisms
Semitopological properties
Semitopological properties
Semi-topological properties.
Semi-topological properties
Semi-topology of transformation groups
Semi-uniformities in quotient spaces
Separable extensions of first countable spaces
Separate continuity and continuity for some generalized continuity notions
Separatedness in constructive topology.
Separately continuous functions: approximations, extensions, and restrictions.
Separating by -sets in finite powers of ω₁
It is known that all subspaces of ω₁² have the property that every pair of disjoint closed sets can be separated by disjoint -sets (see [4]). It has been conjectured that all subspaces of ω₁ⁿ also have this property for each n < ω. We exhibit a subspace of ⟨α,β,γ⟩ ∈ ω₁³: α ≤ β ≤ γ which does not have this property, thus disproving the conjecture. On the other hand, we prove that all subspaces of ⟨α,β,γ⟩ ∈ ω₁³: α < β < γ have this property.
Separating maps and the nonarchimedean Hewitt theorem
Separating sets by Darboux-like functions
We consider the following problem: Characterize the pairs ⟨A,B⟩ of subsets of ℝ which can be separated by a function from a given class, i.e., for which there exists a function f from that class such that f = 0 on A and f = 1 on B (the classical separation property) or f < 0 on A and f > 0 on B (a new separation property).
Separation and connectedness
Separation axioms as absolute properties under monotone unions in weak topology
Separation axioms, covering properties, and inverse limits generated by developable topological spaces [Book]
Separation axioms for partially ordered convergence spaces.
Separation in sequential spaces under PMEA
Separation properties and n-point topological extensions