9 citations · 16 across the 10 of their papers we have counts for
10 papers
Lelong classes of plurisubharmonic functions on an affine variety
Jesse hart, Sione Ma`u
We study the Lelong classes of psh functions on an affine variety . We compute the Monge-Ampère mass of these functions, which we use to define…
Relations between Transfinite Diameters on Affine Algebraic Varieties
Jesse Hart
Given a compact set one may define a transfinite diameter for via a limiting process involving maximising a Vandermonde determinant over with respect to a monomial basi…
Arcs in the Plane
Joan E. Hart, Kenneth Kunen
Assuming PFA, every uncountable subset E of the plane meets some C^1 arc in an uncountable set. This is not provable from MA(aleph_1), although in the case that E is analytic, this…
Aronszajn Compacta
Joan E. Hart, Kenneth Kunen
We consider a class of compacta X such that the maps from X onto metric compacta define an Aronszajn tree of closed subsets of X.
First Countable Continua and Proper Forcing
Joan E. Hart, Kenneth Kunen
Assuming the Continuum Hypothesis, there is a compact first countable connected space of weight aleph_1 with no totally disconnected perfect subsets. Each such space, however, may…
Inverse Limits and Function Algebras
Joan E. Hart, Kenneth Kunen
Assuming Jensen's principle diamond, there is a compact Hausdorff space X which is hereditarily Lindelof, hereditarily separable, and connected, such that no closed subspace of X i…