Examples of countably

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However, regular subobjects of countably based spaces are in one-to-one correspondence with topological subspaces.
We showed that the untiled part of the plane consists of countably many bounded regions whose boundaries are simple closed curves.
Process and action variables range over given, disjoint countably infinite sets.
The cardinality of can be finite, countably infinite, or even uncountable.
Since there are only countably many such functions, we see that almost every point is generic.
A finite or countably infinite number of relational fluents (predicate symbols used to denote situation dependent relations).
A finite or countably infinite number of function symbols called action functions and used to denote actions.
We now begin a (possibly countably transfinite) inductive construction.
It is a phenomenon exhibited by all countably based models of metric spaces.
Let us consider what happens when equilogical spaces are restricted to equivalence relations over countably based spaces.
We require the coarse structure to be countably generated.
However, for the purpose of studying finite or countably infinite automata, it suffices to work with the following notion of a (countable) probability presentation.
Section 6 proves that there are only countably many closed orbits of a certain type.
We shall be interested, in particular, in objects that are injective with respect to all pre-embeddings between countably based spaces.

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