Increasing and Continuous Ordinal Sequences

Grzegorz Bancerek

Warsaw University, Bialystok

Summary.

Concatenation of two ordinal sequences, the mode of all ordinals belonging to a universe and the mode of sequences of them with length equal to the rank of the universe are introduced. Besides, the increasing and continuous transfinite sequences, the limes of ordinal sequences and the power of ordinals, and the fact that every increasing and continuous transfinite sequence has critical numbers (fixed points) are discussed.

MML Identifier: ORDINAL4

Contents (PDF format)

Bibliography

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