Density is at most the spread of the square

TL;DR

This paper establishes a relationship between the density of an infinite Boolean algebra and the spread of its square, providing a new bound in algebraic topology.

Contribution

It proves that for an infinite Boolean algebra, the spread of its square is at least its density, especially when the density is a limit cardinal.

Findings

s(B*B) >= lambda for limit lambda

Density bounds the spread of the algebra's square

Provides new insights into Boolean algebra properties

Abstract

We show the following result: Assume B is an infinite Boolean Algebra and lambda=d(B). Then s(B*B)$, i.e. s(uf(B)xuf(B))>= lambda$ (if lambda limit - obtained)