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20032026
most citedA Morse complex for infinite dimensional manifolds - Part I

45 citations · 194 across the 35 of their papers we have counts for

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math.DS2003★ 45 cited

A Morse complex for infinite dimensional manifolds - Part I

Alberto Abbondandolo, Pietro Majer

In this paper and in the forthcoming Part II we introduce a Morse complex for a class of functions f defined on an infinite dimensional Hilbert manifold M, possibly having critical…

math.AT2003

Infinite dimensional Grassmannians

Alberto Abbondandolo, Pietro Majer

We study the analytic and homotopy properties of some infinite dimensional Grassmannians, useful for developing a Morse theory for infinite dimensional manifolds. We study the spac…