Boris Šobot
Published 2014-10-24Version 1
After defining continuous extensions of binary relations on the set N of natural numbers to its Stone-Cech compactification \beta N, we establish some results about one of such extensions. This provides us with one possible divisibility relation on \beta N and we introduce a few more, defined in a natural way. For some of them we find equivalent conditions for divisibility. Finally, we mention a few facts about prime and irreducible elements of (\beta N, \cdot). The motivation behind all this is to try to translate problems in number theory into \beta N.
Selective Games on Binary Relations
Some extensions of Banach'\ CP in $G$-metric spaces
Algebra in the Stone--Čech compactification, selections, and additive combinatorics
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