General Topology

By Jesper M. Møller. 2008

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Citations in the corpus

Learning Theory for Distribution Regression (2014, background): “In this case, since the composition of continuous functions is continuous (Kelley, 1975, page 85), u is continuous.”
Group Invariant Scattering (2011, neutral): “Open elements of the product topology of Λ∞ are cylinders defined for any λ ∈ Λ∞ and n ≥ 0 by Cn(λ) = {q = {qk}k>0 ∈ Λ∞ : qn+1 = λ} [22].”
Differentiable mappings on products with different degrees of differentiability in the two factors (2012, background): “[26] and the work [39], which popularized the use of k-spaces in algebraic topology).”
Mathematical Methods in Quantum Mechanics (2009, unknown): “As a general reference I can warmly recommend Kelly’s classical book [26].”
Strong uniform continuity (2009, unknown): “We recall these easily proved facts [19,20,28]:”
Ideal boundaries of pseudo-Anosov flows and uniform convergence groups with connections and applications to large scale geometry (2005, background): “Recall [Ke] chapter 1 that a neighborhood system Ux of a point x is a collection satisfying: 1) If U is in Ux then x is in U .”
Lattices of intermediate and cylindric modal logics (2006, background): “, [32]) every subframe of an Esakia space is topologically closed.”
The sequence selection properties of Cp(X) (2007, background): “Of course, for a normal space X IndZ X = 0 coincides with IndX = 0, where IndX is the large inductive dimension of X [12].”
Tame systems and scrambled pairs under an Abelian group action (2006, background): “A topological space K is a Fréchet space if for every A ⊂ K and every x ∈ Ā there exists a sequence xn ∈ A with limn→∞ xn = x (see Engelking [6]).”
Topological dynamics of automorphism groups, ultrafilter combinatorics, and the Generic Point Problem (2015, unknown): “A general fact from topology (see [W], p.”