Let X be a Hausdorff space and A EX a continuum. A is said to be a Universal Subcontinuum (USC) if AH\B is connected for every continuum B EX. Let a be a collection of USC's of a Hausdorff space. Then a is said to have the finite partition property if a has a decomposition into a finite number of subcollections each having the finite intersection property. A result due to W. J. Gray [l] can be ...

If C is a q-ary code of length n and a and b are two codewords, then c is called a descendant of a and b if ci 2 fai; big for i = 1; : : : ; n. We are interested in codes C with the property that, given any descendant c, one can always identify at least one of the `parent' codewords in C. We study bounds on F (n; q), the maximal cardinality of a code C with this property, which we call the iden...

A formula A is said to have the contraction property in a logic L iff whenever A, A,Γ `L B (when Γ is a multiset) also A, Γ `L B. In MLL and in MALL without the additive constants a formula has the contraction property iff it is a theorem. Adding the mix rule does not change this fact. In MALL (with or without mix) and in affine logic A has the contraction property iff either A is provable or A...

If C is a q-ary code of length n and a and b are two codewords, then c is called a descendant of a and b if ci 2 fai; big for i = 1; : : : ; n. We are interested in codes C with the property that, given any descendant c, one can always identify at least one of the `parent' codewords in C. We study bounds on F (n; q), the maximal cardinality of a code C with this property, which we call the iden...

INTRODUCTION ............................................................................. 2190 I. EXAMPLES OF NEW PROPERTY RIGHTS ....................................... 2193 A. Spectrum ................................................................................... 2194 1. Shannon’s Law and the Cumulative Nature of Interference ................................................... 2194 2. G...

This paper considers two properties of graphs, one geometrical and one topolog-ical, and shows that they are strongly related. Let G be a graph with four distinguished and distinct vertices, w 1 ; w 2 ; b 1 ; b 2. Consider the two properties, T RI + (G) and M ON O(G), deened as follows. T RI + (G): There is a planar drawing of G such that: all 3-cycles of G are faces; all faces of G are triangl...