14 citations · 61 across the 28 of their papers we have counts for
29 papers
Note as to inclusion-minimal non-Bondy systems
T. J. Kepka, P. C. Nemec, J. D. Phillips
Let be a finite set, . Given a non-negative integer , there exists an inclusion-minimal non-Bondy system of size on if and only if $s+1\le t…
A scoop from groups: Equational foundations for loops
J. D. Phillips, Petr Vojtěchovský
Groups are usually axiomatized as algebras with an associative binary operation, a two-sided neutral element, and with two-sided inverses. We show in this note that the same simpli…
Exact Hausdorff Measure of Certain Non-Self-Similar Cantor Sets
Steen Pedersen, Jason D. Phillips
We establish a formula yielding the Hausdorff measure for a class of non-self-similar Cantor sets in terms of the canonical covers of the Cantor set.
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…
On Intersections of Cantor Sets: Self-Similarity
Steen Pedersen, Jason D. Phillips
Let C be a Cantor set. For a real number t let C+t be the translate of C by t, We say two real numbers s,t are equivalent if the intersection of C and C+s is a translate of the int…
On Intersections of Cantor Sets: Hausdorff Measure
Steen Pedersen, Jason D. Phillips
We establish formulas for bounds on the Haudorff measure of the intersection of certain Cantor sets with their translates. As a consequence we obtain a formula for the Hausdorff di…