Ordinal arithmetic with simultaneously defined theta‐functions | Zendy

Weiermann Andreas | Zendy; Wilken Gunnar | Zendy

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Ordinal arithmetic with simultaneously defined theta‐functions

Author(s) -

Weiermann Andreas,

Wilken Gunnar

Publication year - 2011

Publication title -

mathematical logic quarterly

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.473

H-Index - 28

eISSN - 1521-3870

pISSN - 0942-5616

DOI - 10.1002/malq.200910125

Subject(s) - mathematics , second order arithmetic , order (exchange) , order type , partial function , point (geometry) , arithmetic , pure mathematics , discrete mathematics , algebra over a field , geometry , finance , peano axioms , economics

This article provides a detailed comparison between two systems of collapsing functions. These functions play a crucial role in proof theory, in the analysis of patterns of resemblance, and the analysis of maximal order types of well partial orders. The exact correspondence given here serves as a starting point for far reaching extensions of current results on patterns and well partial orders. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

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