Beyond perturbation: introduction to homotopy analysis method
by Liao, Shijun
fromCRC series
"Lusternik-Schnirelmann category is a subject with ties to both algebraic topology and dynamical systems. This book provides a unified approach to LS-category, including foundational material on homotopy theoretic aspects of the subject, the Lusternik-Schnirelmann theorem on cri…
Homotopy invariant algebraic structures: a conference in honor of J. Michael Boardman : AM…
by Morava, Jack, AMS Special Session on Homotopy Theory, Baltimore, Md.), Boardman, J. M., (John Michael), Meyer, Jean-Pierre, Wilson, W. Stephen
fromContemporary mathematics (American Mathematical Society)
In this text, the author presents a general framework for applying the standard methods from homotopy theory to the category of smooth schemes over a reasonable base scheme $k$. He defines the homotopy category $h(\mathcal{E} k)$ of smooth $k$-schemes and shows that it plays the…
