Measurable cardinals and category bases
We show that the existence of a non-trivial category base on a set of regular cardinality with each subset being Baire is equiconsistent to the existence of a measurable cardinal.
Measurable envelopes, Hausdorff measures and Sierpiński sets
We show that the existence of measurable envelopes of all subsets of ℝⁿ with respect to the d-dimensional Hausdorff measure (0 < d < n) is independent of ZFC. We also investigate the consistency of the existence of -measurable Sierpiński sets.
Measurable Functions and Almost Continuous Functions.
Measurable relations
Measurable Selection Theorems for Optimization Problems.
Measurable solutions of functional equations satisfied almost everywhere.
Measurable spaces with c.c.c. [Book]
Measurable uniform spaces
Measure and category
Measure and category versions of Erdős-Rado theorem.
Measure and measurable functions of
Measure characterization and properties of normal and regular lattices.
Measure extension for a piecewise invariant map
Measure Extensions by Conditional Atoms.
Measure Theoretic Versions of Linear Programming.
Measure-additive coverings and measurable selectors [Book]
Measure-determined enlargements of Boolean -algebras
Measures of full dimension on self-affine sets
Measures of fuzziness and operations with fuzzy sets.
We discuss the effects that the usual set theoretic and arithmetic operations with fuzzy sets and fuzzy numbers have with respect to the energies and entropies of the fuzzy sets connected and of the resulting fuzzy sets, and we also compare the entropies and energies of the results of several of those operations.
Measures of sum-free intersecting families.