On countable families of sets without the Baire property

• Autorzy: Mats Aigner , Vitalij A. Chatyrko , Venuste Nyagahakwa
• Języki publikacji: EN

Abstrakty

EN

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 in X.

Kategorie tematyczne

• 54A10: Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
• 03E20: Other classical set theory (including functions, relations, and set algebra)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 133
• Numer: 2
• Strony: 179-187

Daty

wydano

2013

Twórcy

autor

Mats Aigner

• Department of Mathematics, Linköping University, 581 83 Linköping, Sweden

autor

Vitalij A. Chatyrko

• Department of Mathematics, Linköping University, 581 83 Linköping, Sweden

autor

Venuste Nyagahakwa

• Department of Mathematics, National University of Rwanda, Butare, Rwanda

Identyfikatory

DOI

10.4064/cm133-2-4