@article{Sakai1996TheCO,
title={The Combinatorics of Open Covers},
author={Masami Sakai and Marion Scheepers},
journal={Topology and its Applications},
year={1996},
volume={73},
pages={241-266}
}

In a previous work with Mildenberger and Shelah, we showed that the combinatorics of the selection hypotheses involving τ-covers is sensitive to the selection operator used. We introduce a natural… Expand

We study diagonalizations of covers using various selectionprinciples, where the covers are related to linearquasiorderings ( -covers).This includes: equivalences and nonequivalences,combinatorial… Expand

A topological space satisfies ( ΩΓ ) (also known as Gerlits–Nagy’s property γ) if every open cover of the space such that each finite subset of the space is contained in a member of the cover,… Expand

Hindman's celebrated Finite Sums Theorem, and its high-dimensional version due to Milliken and Taylor, are extended from covers of countable sets to covers of arbitrary topological spaces with… Expand

Some of the covering properties of spaces as defined in Parts I and II are here characterized by games. These results, applied to function spaces Cp(X) of countable tightness, give new… Expand

We give a negative solution to Archangelskij's problem by showing that there exists a Lindelof space with countable pseudocharacter which does not admit a continuous one-to-one mapping onto a first… Expand

The concept of Agassiz system of algebras and Agassiz sum was introduced by G. Gratzer and J. Sichler in [3]. In this paper we intend to discuss a modification of the concepts above which seems to be… Expand