3 papers
math.LO2013
Higher Classes of Ordinals induced by <_1
Parménides García Cornejo
In this article we want to see that it is possible to iterate and generalize the notions presented in "Carlson's <_1-relation on the class of epsilon numbers" such that we can obta…
math.LO2013
Carlson's <_1-relation on the class of epsilon numbers
Parménides García Cornejo
Based on the class of epsilon numbers, another binary relational <^1 in the ordinals is introduced. We will see that we can easily describe all the isomorphisms that are witnesses…
math.LO2013
Carlson's -relation on the class of additive principal ordinals
Parmenides Garcia Cornejo
This is the first in a series of several articles. Our general purpose is to investigate Carlson's <_1-relation in the whole class of ordinals and later link it with ordinals of pr…