nLab
Structured Spaces

This entry provides hyperlinks for central keywords of the text

• Jacob Lurie, Structured Spaces (arXiv:0905.0459)

Survey

A survey is at A Survey of Elliptic Cohomology - the derived moduli stack of derived elliptic curves in the section notions of space.

Contents

• higher geometry

• structured (∞,1)-topos

  • geometry (for structured (∞,1)-toposes)

  • generalized scheme

    • derived algebraic geometry

      • derived scheme

      • derived Deligne-Mumford stack

    • derived smooth manifold