Pseudo-open functions are monotonic decreasing for ordinal and cardinal invariants

Are social welfare functions ordinal or cardinal ?

Cardinal and Ordinal Numbers

This paper will present a brief set-theoretic construction of the natural numbers before discussing in detail the ordinal and cardinal numbers. It will then investigate the relationship between the two proper classes, in particular the similar difficulties in discussing the size of the classes. We will end with a short section on the cardinalities of well-known infinite sets with which the read...

Cardinal invariants and compactifications

We prove that every compact space X is a Čech-Stone compactification of a normal subspace of cardinality at most d(X)t(X), and some facts about cardinal invariants of compact spaces.

Isolating Cardinal Invariants

There is an optimal way of increasing certain cardinal invariants of the

CARDINAL INVARIANTS bκ AND tκ

This paper studies cardinal invariants bκ and tκ, the natural generalizations of the invariants b and t to a regular cardinal κ.