Open AccessThe asymptotic behavior of the set of rays
Author(s) -
Sérgio Mendonça
Publication year - 1997
Publication title -
commentarii mathematici helvetici
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.603
H-Index - 46
eISSN - 1420-8946
pISSN - 0010-2571
DOI - 10.1007/s000140050021
Subject(s) - mathematics , conjecture , ideal (ethics) , boundary (topology) , set (abstract data type) , radius , manifold (fluid mechanics) , open set , pure mathematics , discrete mathematics , mathematical analysis , mechanical engineering , philosophy , computer security , epistemology , computer science , engineering , programming language
. We introduce new invariants to study the asymptotic behavior of the set of rays and prove a splitting theorem for the radius of the ideal boundary of an open manifold with (Shioya's Conjecture).
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