On compact metric spaces and the group of Baire equivalences
E. Lorch (1968)
Studia Mathematica
Similarity:
E. Lorch (1968)
Studia Mathematica
Similarity:
László Zsilinszky (1999)
Mathematica Slovaca
Similarity:
Mats Aigner, Vitalij A. Chatyrko, Venuste Nyagahakwa (2013)
Colloquium Mathematicae
Similarity:
We suggest a method of constructing decompositions of a topological space X having an open subset homeomorphic to the space (ℝⁿ,τ), where n is an integer ≥ 1 and τ is any admissible extension of the Euclidean topology of ℝⁿ (in particular, X can be a finite-dimensional separable metrizable manifold), into a countable family ℱ of sets (dense in X and zero-dimensional in the case of manifolds) such that the union of each non-empty proper subfamily of ℱ does not have the Baire property...
Jaroslav Lukeš, Luděk Zajíček (1976)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Bożena Świątek (2004)
Colloquium Mathematicae
Similarity:
We investigate the topological structure of the space 𝓓ℬ₁ of bounded Darboux Baire 1 functions on [0,1] with the metric of uniform convergence and with the p*-topology. We also investigate some properties of the set Δ of bounded derivatives.