Classical Descriptive Set Theory

By Benjamin Naumann. 2016

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New dimension spectra: finer information on scaling and homogeneity (2016, background): “For more details on the Baire hierarchy, see [K].”
Foundations of structural causal models with cycles and latent variables (2016, unknown): “In particular, to prove the existence of a measurable solution function g : E pa ( I ) → X in case the structural equations have a solution for almost every e ∈ E , we make use of a strong measurable selection theorem (see Theorem F.8 or [27]).”
The First Integral Cohomology of Pure Mapping Class Groups (2017, background): “(See [17] for a reference to the theory of Polish spaces/groups and for the following material.”
Topological dynamics of automorphism groups, ultrafilter combinatorics, and the Generic Point Problem (2015, unknown): “We endow X LO with the topology whose basic open neighborhoods are of the form N(L) = {〈K, <〉 ∈ X LO : <|[k] = L}, where L is some linear ordering of [k] = {1, 2, .”
Linear dynamical systems on Hilbert spaces: typical properties and explicit examples (2017, unknown): “We refer the reader to [38] for (much) more information on the Borel hierarchy.”