39 citations · 83 across the 30 of their papers we have counts for
31 papers
Loops with universal and semi-universal flexibility
Riley Britten, Michael Kinyon, Kenneth Kunen +1
We study loops which are universal (that is, isotopically invariant) with respect to the property of flexibility (). We also weaken this to semi-universality…
Seven characterizations of non-meager P-filters
Kenneth Kunen, Andrea Medini, Lyubomyr Zdomskyy
We give several topological/combinatorial conditions that, for a filter on , are equivalent to being a non-meager -filter. In particular, we show that a filter is co…
Irredundant Sets in Atomic Boolean Algebras
Kenneth Kunen
Assuming GCH, we construct an atomic boolean algebra whose pi-weight is strictly less than the least size of a maximal irredundant family.
The structure of automorphic loops
Michael Kinyon, Ken Kunen, J. D. Phillips +1
Automorphic loops are loops in which all inner mappings are automorphisms. This variety of loops includes, for instance, groups and commutative Moufang loops. We study uniquely 2-d…
Homeomorphisms with Small Twist
Kenneth Kunen
We extend Baumgartner's result on isomorphisms of aleph_1 dense subsets of the reals R in two ways: First, the function can be made to be absolutely continuous. Second, one can rep…
Transfinite Sequences of Continuous and Baire Class 1 Functions
Márton Elekes, Kenneth Kunen
The set of continuous or Baire class 1 functions defined on a metric space is endowed with the natural pointwise partial order. We investigate how the possible lengths of well-…