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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Classifying maps in fiberings of homogeneous bounded domains


Author: Soji Kaneyuki
Journal: Proc. Amer. Math. Soc. 52 (1975), 283-288
MSC: Primary 32M10
DOI: https://doi.org/10.1090/S0002-9939-1975-0404714-4
MathSciNet review: 0404714
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Abstract: A homogeneous bounded domain in ${{\text {C}}^n}$ admits a structure of a fiber space whose base and fibers are homogeneous bounded domains. For such a fibering there exists a universal fiber space with the same fibers, which plays an analogous role as a universal bundle does in topology. A sufficient condition is given in order that the canonical map of the base of the fibering into the classifying domain is injective. Some applications of it are also given.


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

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Keywords: Homogeneous bounded domains, bounded symmetric domains, <IMG WIDTH="15" HEIGHT="37" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="$j$">-algebras
Article copyright: © Copyright 1975 American Mathematical Society