- &4\leftrightarrow 8,&\ldots \end{matrix}}}
Every countably infinite set is
countable, and
every infinite countable set is
countably infinite. Furthermore, any subset...
- mathematics, the term
countably generated can have
several meanings: An
algebraic structure (group, module, algebra)
having countably many generators, see...
- mathematics, an
axiom of
countability is a
property of
certain mathematical objects that ****erts the
existence of a
countable set with
certain properties...
- topology, a second-
countable space, also
called a
completely separable space, is a
topological space whose topology has a
countable base. More explicitly...
-
ordered set X is said to
satisfy the
countable chain condition, or to be ccc, if
every strong antichain in X is
countable.
There are
really two conditions:...
- topology) is an
example of a
countably compact space that is not compact.
Every compact space is
countably compact. A
countably compact space is
compact if...
- non-increasing
functions of t , {\displaystyle t,} so both of them have at most
countably many
discontinuities and thus they are
continuous almost everywhere, relative...
-
Countable Corporation (aka
Countable) is a Software-as-a-Service (SaaS)
company based in San Francisco. The
company was
founded in 2013 by its CEO Bart...
-
strong countable fan tightness. A
quotient of a
countably generated space is
again countably generated. Similarly, a
topological sum of
countably generated...
- In set theory, a set is
called hereditarily countable if it is a
countable set of
hereditarily countable sets. The
inductive definition above is well-founded...
