Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Canonical forms of Borel functions on the Milliken space


Authors: Olaf Klein and Otmar Spinas
Journal: Trans. Amer. Math. Soc. 357 (2005), 4739-4769
MSC (2000): Primary 03E15, 05D10, 54H05
Published electronically: July 19, 2005
MathSciNet review: 2165386
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The goal of this paper is to canonize Borel measurable mappings $\Delta\colon\Omega^\omega\to\mathbb{R} $, where $\Omega^\omega$ is the Milliken space, i.e., the space of all increasing infinite sequences of pairwise disjoint nonempty finite sets of $\omega$. This main result is a common generalization of a theorem of Taylor and a theorem of Prömel and Voigt.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 03E15, 05D10, 54H05

Retrieve articles in all journals with MSC (2000): 03E15, 05D10, 54H05


Additional Information

Olaf Klein
Affiliation: Mathematisches Seminar, Christian-Albrechts-Universität Zu Kiel, Ludewig-Meyn-Strasse 4, 24098 Kiel, Germany

Otmar Spinas
Affiliation: Mathematisches Seminar, Christian-Albrechts-Universität Zu Kiel, Ludewig-Meyn-Strasse 4, 24098 Kiel, Germany
Email: spinas@math.uni-kiel.de

DOI: http://dx.doi.org/10.1090/S0002-9947-05-04000-6
PII: S 0002-9947(05)04000-6
Received by editor(s): March 12, 2002
Published electronically: July 19, 2005
Additional Notes: The second author was partially supported by DFG grant SP 683
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.