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Homotopy theory is an important sub-field of algebraic topology. It is mainly concerned with the properties and structures of spaces which are invariant under homotopy. Chief among these are the homotopy groups of spaces, specifically those of spheres. Homotopy theory includes a broad set of ideas and techniques, such as cohomology theories, spectra and stable homotopy theory, model categories, spectral sequences, and classifying spaces.

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On Gromov's Theorem on Symplectic Homotopy

I didn't know that the proof of that fact was in McDuff-Salamon (in which one? Introduction to symplectic topology?). You can also find it in Eliashberg-Mishachev, Introduction to the h-principle. T …
Klaus Niederkrüger's user avatar