Let υ = qp r where p is a prime number and p does not divide q. Let B and B ′ be isomorphic
combinatorial objects whose vertex sets is Z υ , the integers modulo υ, and further assume …

0. Introduction. In this paper classifying spaces are defined which cl the set of branched
coverings over fixed manifolds. Calculations o homotopy groups of the classifying spaces …

The Bays-Lambossy Theorem states that if p is a prime then any pair of cyclic isomorphic t −(p,
k, λ) designs are isomorphic by a multiplier map. For each prime, p ≡ 1(6), and n ⩾ 2 this …

… and artist Peg Zeglin Brand; by his son Joshua Brand (Cheryl Keenan); by his two
granddaughters, Megan and Cassidy Keenan Brand; and by his sister Cheryl Rappaport (Ken). …

A Steinhaus graph is a graph with n vertices whose adjacency matrix (a i, j ) satisfies the
condition that a i, j  a a‐‐1, j‐‐1 + a i‐‐1, j (mod 2) for each 1 < i < j ≤ n. It is clear that a …

In this paper, a branched covering is assumed to be a smooth map f: AT/"--+ M" together
with smoothly imbedded submanifolds/("-2~--~ A7/" and K"-2~-~ M which satisfy certain …

In this paper interesting families of designs are constructed and studied. First, a family of
cyclic 2-(4 n , 3, 2) designs is constructed with the property that each design has two different …

THE GOAL of this paper is a theorem expressing some stable periodicity in k of the concordance
classes of k-fold branched coverings of a sphere. Actually, we prove a weak kind of p-…

Hefftner, White, Alpert, and others observed a connection between topology and certain
block designs with parameters k = 3 and λ = 2. In this paper the connection is extended to …

LetB andB′ be any isomorphic cyclic combinatorial objects such as graphs, digraphs, designs,
or simplicial complexes. It is shown that if there are certain polynomials of degreen in the …