Galvin showed that white always wins [T:T] and gave an explicit strategy for the case where T is finite. We present his proofs here and then show how to give an explicit strategy in the general case.
An introduction to the basic tools of the theory of (partially) ordered sets such as visualisation via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved …
The second edition of this highly praised textbook provides an expanded introduction to the theory of ordered sets and its connections to various subjects. Utilizing a modular presentation, the core material is purposely kept brief, allowing for the benefits of a broad exposure …
The second edition of this highly praised textbook provides an expanded introduction to the theory of ordered sets and its connections to various subjects. Utilizing a modular presentation, the core material is purposely kept brief, allowing for the benefits of a broad exposure…
An introduction to the basic tools of the theory of (partially) ordered sets such as visualisation via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved …
In this text, we use characters of lattices (i.e. lattice morphisms into the two-element lattice) and characters of topological spaces (i.e. continuous functions into an appropriately topologized two element space) to obtain connections and dualities between various categories o…