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Some aspects of Property ( P q ) for q > 1
Author(s) -
Zhang Yue
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201400402
Subject(s) - mathematics , property (philosophy) , holomorphic function , pure mathematics , plane (geometry) , topology (electrical circuits) , geometry , combinatorics , philosophy , epistemology
In this paper, we discuss the invariance property of Property ( P q ) under holomorphic maps on any compact subset in C n . An obstruction to Property ( P q ) of any compact subset regarding the fine topology is also given, which generalizes a classical result of N. Sibony on the complex plane.