Studies on Collapsing Cavities

On Collapsing Narrowing

Collapsing Closures

A description in the Jacobs and Langen domain is a set of sharing groups where each sharing group is a set of program variables. The presence of a sharing group in a description indicates that all the variables in the group can be bound to terms that contain a common variable. The expressiveness of the domain, alas, is compromised by its intractability. Not only are descriptions potentially exp...

Collapsing functions

We define what it means for a function on ω1 to be a collapsing function for λ and show that if there exists a collapsing function for (21), then there is no precipitous ideal on ω1. We show that a collapsing function for ω2 can be added by forcing. We define what it means to be a weakly ω1-Erdös cardinal and show that in L[E], there is a collapsing function for λ iff λ is less than the least w...

The Dirac operator on collapsing S-bundles

We study the behavior of the spectrum of the Dirac operator on collapsing S1-bundles. Convergent eigenvalues will exist if and only if the spin structure is projectable.

Collapsing avian community on a Hawaiian island

The viability of many species has been jeopardized by numerous negative factors over the centuries, but climate change is predicted to accelerate and increase the pressure of many of these threats, leading to extinctions. The Hawaiian honeycreepers, famous for their spectacular adaptive radiation, are predicted to experience negative responses to climate change, given their susceptibility to in...