nLab
Charles Rezk

• website

Selected writings

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

• Charles Rezk, Toposes and homotopy toposes, 2010 (pdf)

Review of higher topos theory:

• Charles Rezk, Lectures on Higher Topos Theory, Leeds 2019 (pdf, pdf)

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:

• Charles Rezk, Lectures on power operations (dvi) (2006)

• Charles Rezk, Power operations in Morava E-theory – a survey (2009) (pdf)

• Charles Rezk, Isogenies, power operations, and homotopy theory, article (pdf) and talk at ICM 2014 (pdf)

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

• Charles Rezk, The units of a ring spectrum and a logarithmic cohomology operation, J. Amer. Math. Soc. 19 (2006), 969-1014 (arXiv:math/0407022)

On the string orientation of tmf:

• Matthew Ando, Michael Hopkins, Charles Rezk, Multiplicative orientations of KO-theory and the spectrum of topological modular forms, 2010 (pdf)

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

• Charles Rezk, Global Homotopy Theory and Cohesion, 2014

  (pdf, pdf)

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 $n$-categories Geom. Topol. 14 (2010), no. 1, 521–571 (arXiv:0901.3602)

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

• Charles Rezk, Cartesian presentations of weak n-categories

  An introduction to $\Theta_n$-spaces_ (2009) (pdf)

Related $n$Lab entries

in higher algebra/stable homotopy theory

• power operation

• logarithmic cohomology operation

• string orientation of tmf

• twisted cohomology, twisted Umkehr map

in higher category theory:

• (∞,n)-category

• Theta space/(n,r)-category

in higher topos theory:

• (∞,1)-topos

• higher topos theory

• global equivariant homotopy theory

category: people