Charles Rezk

Selected writings

On the homotopy theory of homotopy theories (the (infinity,1)-category of (infinity,1)-categories) in terms of complete Segal spaces:

Introducing model toposes/(∞,1)-toposes:

Review of higher topos theory:

On complete Segal spaces:

  • Charles Rezk, A model for the homotopy theory of homotopy theory , Trans. Amer. Math. Soc., 353(3), 973-1007 (pdf)

On power operations:

Expressing logarithmic cohomology operations in terms of the Bousfield-Kuhn functor and power operations:

On the string orientation of tmf:

On global equivariant homotopy theory as a cohesive (∞,1)-topos:

On sufficient conditions for geometric realization of simplicial topological spaces to commute with homotopy pullback

  • Charles Rezk, When are homotopy colimits compatible with homotopy base change?, 2014 (pdf, pdf)

On Theta-spaces:

  • Charles Rezk, A cartesian presentation of weak nn-categories Geom. Topol. 14 (2010), no. 1, 521–571 (arXiv:0901.3602)

    Correction to “A cartesian presentation of weak nn-categories” Geom. Topol. 14 (2010), no. 4, 2301–2304. MR 2740648 (pdf)

  • Charles Rezk, Cartesian presentations of weak n-categories

    An introduction to Θ n\Theta_n-spaces_ (2009) (pdf)

On ∞-groups of units, Thom spectra and twisted generalized cohomology:

in higher algebra/stable homotopy theory

in higher category theory:

in higher topos theory:

category: people

Last revised on September 4, 2020 at 14:33:43. See the history of this page for a list of all contributions to it.