Definition:Infinite Sequence/Also known as
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Infinite Sequence: Also known as
Treatments of infinite sequences which approach the definition of a sequence from the direction of ordered tuples offer the term $\omega$-tuple for the concept of a tuple whose domain is (countably) infinite.
Some sources use the term denumerable sequence.
Sources
- 2000: James R. Munkres: Topology (2nd ed.) ... (previous) ... (next): $1$: Set Theory and Logic: $\S 5$: Cartesian Products
- 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.) ... (previous) ... (next): Chapter $3$: The Natural Numbers: $\S 8$ Definition by finite recursion