<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">PIERLUIGI BENEVIERI</style></author><author><style face="normal" font="default" size="100%">MASSIMO FURI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE UNIQUENESS OF THE DEGREE FOR NONLINEAR FREDHOLM MAPS OF INDEX ZERO BETWEEN BANACH MANIFOLDS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">ON THE UNIQUENESS OF THE DEGREE...</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47A53</style></keyword><keyword><style  face="normal" font="default" size="100%">47H11</style></keyword><keyword><style  face="normal" font="default" size="100%">58Cxx.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/2/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">216</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In some previous papers we presented a fairly simple construction of a topological degree for C&lt;sup&gt;1&lt;/sup&gt; Fredholm maps of index zero between Banach manifolds which verifies the three fundamental properties of the classical degree theory: normalization, additivity and homotopy invariance. We show here that this degree is unique. Precisely, by an axiomatic approach similar to the one due to Amann-Weiss, we prove that there exists at most one real function satisfying the above properties, and this function must be integer valued.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">203</style></section></record></records></xml>