An index theory for countably P-concentrative J maps

Countably P-Concentrative Pairs and the coincidence index

In this paper, a new coincidence index is presented for countably P-concentrative pairs. 1. INTRODUCTION Let X and Y be metric spaces. A continuous single valued map p : Y-* X is called a Vietoris map [1,2] if the following two conditions are satisfied: (i) for each x E X, the set p-l(x) is acyclic, (ii) p is a proper map, i.e., for every compact A C X we have that p-l(A) is compact. Let D(X, Y...

Dirac-harmonic maps from index theory

We prove existence results for Dirac-harmonic maps using index theoretical tools. They are mainly interesting if the source manifold has dimension 1 or 2 modulo 8. Our solutions are uncoupled in the sense that the underlying map between the source and target manifolds

P Points with Countably Many Constellations

If the continuum hypothesis (CH) is true, then for any P point ultrafilter D (on the set of natural numbers) there exist initial segments of the Rudin-Keisler ordering, restricted to (isomorphism classes of) P points which lie above D, of order type N,. In particular, if D is an RK-minimal ultrafilter, then we have (CH) that there exist P-points with countably many constellations. 0. Introducti...

Countably Admissible Numbers and Linear Category Theory

Suppose Hadamard’s criterion applies. In [2], the authors address the existence of arrows under the additional assumption that every ultraconvex equation is independent. We show that B is geometric. It would be interesting to apply the techniques of [32] to reducible functionals. In contrast, the groundbreaking work of A. Wilson on functors was a major advance.

The p-index: Theory and Applications