Topology and Phase Transitions: Theorem on a necessary relation

Details Topology and Phase Transitions: Theorem on a necessary relation Topology and Phase Transitions: Theorem on a necessary relation

2003-05-15

arxiv.org/abs/math-ph/0305032v5

Physics

Mathematical Physics

This paper has been superseded by math-ph/0505057 and math-ph/0505058

Scientific paper

An emended and improved version of the present paper has been archived in math-ph/0505057, and a preliminary account of its content has been published in Phys.Rev.Lett. 92, 60601, (2004). Moreover, in order to prove the relevance of topology for phase transition phenomena in a broad domain of physically interesting cases, we have proved another theorem which is reported in math-ph/0505058 and which is crucially based on the result of the paper archived in math-ph/0505057.

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