作者：Charles Rezk 来源：[J].Homology, Homotopy and Applications(IF 0.433), 2009, Vol.11 (2), pp.327-379Project Euclid 摘要：We prove a congruence criterion for the algebraic theory of power operations in Morava E-theory, analogous toWilkerson's congruence criterion for torsion free λ-rings. In addition, we provide a geometric description of thiscongruence criterion, in terms of sheaves on the mod...
 作者：Julia E Bergner , Charles Rezk 来源：[J].Geometry & Topology(IF 0.974), 2013, Vol.17 (4), pp.2163-2202Project Euclid 摘要：While many different models for ( ∞ , 1 ) –categories are currently being used, it is known that they are Quillen equivalent to one another. Several higher-order analogues of them are being developed as models for ( ∞ , n ) –categories. In this paper, we establish model...
 作者：Charles Rezk 来源：[J].Geometry & Topology(IF 0.974), 2010, Vol.14 (4), pp.2301-2304Project Euclid 摘要：This paper gives a corrected proof for Proposition 6.6 of “A Cartesian presentation of weak n –categories” [Geom. Topol. 14 (2010) 521–571] by the author.
 作者：Charles Rezk 来源：[J].Geometry & Topology(IF 0.974), 2010, Vol.14 (1), pp.521-571Project Euclid 摘要：We propose a notion of weak ( n + k , n ) –category, which we call ( n + k , n ) – Θ –spaces. The ( n + k , n ) – Θ –spaces are precisely the fibrant objects of a certain model category structure on the category of presheaves of simplicial sets on Joyal’s category ...
 作者：Charles Rezk 来源：[J].Algebraic & Geometric Topology, 2018, Vol.18 (1), pp.525-546Project Euclid 摘要：A 1 –truncated compact Lie group is any extension of a finite group by a torus. In this note we compute the homotopy types of Map ∗ ( B G , B H ) , Map ( B G , B H ) , and Map ( E G , B G H ) for compact Lie groups G and H with H 1 <...
 作者：Charles Rezk 来源：[J].Tunisian Journal of Mathematics, 2020, Vol.2 (1), pp.1-42Project Euclid 摘要：We present a calculation that shows how the moduli of complex analytic elliptic curves arises naturally from the Borel cohomology of an extended moduli space of U ( 1 ) -bundles on a torus. Furthermore, we show how the analogous calculation, applied to a moduli space of prin...
 作者：Charles Rezk 来源：[J].Algebraic & Geometric Topology, 2013, Vol.13 (2), pp.1049-1051Project Euclid 摘要：We give a shorter proof of Goodwillie’s, [Geom. Topol. 7 (2003) 645–711; Lemma 1.9], which is the key step in proving that the construction P n F gives an n –excisive functor.
 作者：Charles Rezk 来源：[J].Algebraic & Geometric Topology, 2012, Vol.12 (3), pp.1373-1403Project Euclid 摘要：We describe a vanishing result on the cohomology of a cochain complex associated to the moduli of chains of finite subgroup schemes on elliptic curves. These results have applications to algebraic topology, in particular to the study of power operations for Morava E –theory ...