Bergner, Julia E.; Rezk, Charles Comparison of models for \(( \infty , n )\)-categories, II. (English) Zbl 07262228 J. Topol. 13, No. 4, 1554-1581 (2020). MSC: 55U35 55U40 18D05 18D15 18D20 18G30 18G55 PDF BibTeX XML Cite \textit{J. E. Bergner} and \textit{C. Rezk}, J. Topol. 13, No. 4, 1554--1581 (2020; Zbl 07262228) Full Text: DOI
Behrens, Mark; Rezk, Charles Spectral algebra models of unstable \(v_n\)-periodic homotopy theory. (English) Zbl 07261950 Ohsawa, Takeo (ed.) et al., Bousfield classes and Ohkawa’s theorem. Selected contributions given at the workshop, Nagoya, Japan, August 28–30, 2015. Singapore: Springer (ISBN 978-981-15-1587-3/hbk; 978-981-15-1588-0/ebook). Springer Proceedings in Mathematics & Statistics 309, 275-323 (2020). MSC: 55 PDF BibTeX XML Cite \textit{M. Behrens} and \textit{C. Rezk}, in: Bousfield classes and Ohkawa's theorem. Selected contributions given at the workshop, Nagoya, Japan, August 28--30, 2015. Singapore: Springer. 275--323 (2020; Zbl 07261950) Full Text: DOI
Behrens, Mark; Rezk, Charles The Bousfield-Kuhn functor and topological André-Quillen cohomology. (English) Zbl 1444.55003 Invent. Math. 220, No. 3, 949-1022 (2020). Reviewer: Geoffrey Powell (Angers) MSC: 55N22 55Q51 55P60 PDF BibTeX XML Cite \textit{M. Behrens} and \textit{C. Rezk}, Invent. Math. 220, No. 3, 949--1022 (2020; Zbl 1444.55003) Full Text: DOI
Rezk, Charles Looijenga line bundles in complex analytic elliptic cohomology. (English) Zbl 1442.55005 Tunis. J. Math. 2, No. 1, 1-42 (2020). Reviewer: Eugenio Landi (Roma) MSC: 55N34 55N91 55R40 PDF BibTeX XML Cite \textit{C. Rezk}, Tunis. J. Math. 2, No. 1, 1--42 (2020; Zbl 1442.55005) Full Text: DOI
Davis, Daniel G. (ed.); Henn, Hans-Werner (ed.); Jardine, J. F. (ed.); Johnson, Mark W. (ed.); Rezk, Charles (ed.) Homotopy theory: tools and applications. A conference in honor of Paul Goerss’s 60th birthday, University of Illinois at Urbana-Champaign, Urbana, IL, USA, July 17–21, 2017. (English) Zbl 1419.55001 Contemporary Mathematics 729. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4244-6/pbk; 978-1-4704-5293-3/ebook). xi, 268 p. (2019). MSC: 55-06 18-06 55P43 55N22 55N91 18D50 55Q45 55Q51 55T15 54B40 55U10 55S35 00B25 00B30 PDF BibTeX XML Cite \textit{D. G. Davis} (ed.) et al., Homotopy theory: tools and applications. A conference in honor of Paul Goerss's 60th birthday, University of Illinois at Urbana-Champaign, Urbana, IL, USA, July 17--21, 2017. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1419.55001) Full Text: DOI
Rezk, Charles Classifying spaces for 1-truncated compact Lie groups. (English) Zbl 1383.55014 Algebr. Geom. Topol. 18, No. 1, 525-546 (2018). Reviewer: Mahender Singh (Manauli) MSC: 55R91 55P92 55R35 55R37 PDF BibTeX XML Cite \textit{C. Rezk}, Algebr. Geom. Topol. 18, No. 1, 525--546 (2018; Zbl 1383.55014) Full Text: DOI
Goerss, Paul; Henn, Hans-Werner; Mahowald, Mark; Rezk, Charles On Hopkins’ Picard groups for the prime 3 and chromatic level 2. (English) Zbl 1314.55006 J. Topol. 8, No. 1, 267-294 (2015). Reviewer: David Barnes (Belfast) MSC: 55P42 55Q45 55T15 PDF BibTeX XML Cite \textit{P. Goerss} et al., J. Topol. 8, No. 1, 267--294 (2015; Zbl 1314.55006) Full Text: DOI arXiv
Rezk, Charles Isogenies, power operations, and homotopy theory. (English) Zbl 1373.55026 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 1125-1145 (2014). MSC: 55S25 55N34 55P43 PDF BibTeX XML Cite \textit{C. Rezk}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa. 1125--1145 (2014; Zbl 1373.55026)
Ando, Matthew; Blumberg, Andrew J.; Gepner, David; Hopkins, Michael J.; Rezk, Charles Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory. (English) Zbl 1316.55005 J. Topol. 7, No. 4, 1077-1117 (2014). Reviewer: Vesna Stojanoska (Bonn) MSC: 55P43 55R65 55R25 55P99 PDF BibTeX XML Cite \textit{M. Ando} et al., J. Topol. 7, No. 4, 1077--1117 (2014; Zbl 1316.55005) Full Text: DOI arXiv
Ando, Matthew; Blumberg, Andrew J.; Gepner, David; Hopkins, Michael J.; Rezk, Charles An \(\infty\)-categorical approach to \(R\)-line bundles, \(R\)-module Thom spectra, and twisted \(R\)-homology. (English) Zbl 1312.55011 J. Topol. 7, No. 3, 869-893 (2014). Reviewer: Julie Bergner (Riverside) MSC: 55P99 55P42 55P43 55U40 PDF BibTeX XML Cite \textit{M. Ando} et al., J. Topol. 7, No. 3, 869--893 (2014; Zbl 1312.55011) Full Text: DOI arXiv
Bergner, Julia E.; Rezk, Charles Comparison of models for \((\infty , n)\)-categories. I. (English) Zbl 1273.18031 Geom. Topol. 17, No. 4, 2163-2202 (2013). Reviewer: Richard John Steiner (Glasgow) MSC: 18G55 18G30 18D05 55U35 18D20 PDF BibTeX XML Cite \textit{J. E. Bergner} and \textit{C. Rezk}, Geom. Topol. 17, No. 4, 2163--2202 (2013; Zbl 1273.18031) Full Text: DOI arXiv
Bergner, Julia E.; Rezk, Charles Reedy categories and the \(\varTheta\)-construction. (English) Zbl 1270.55014 Math. Z. 274, No. 1-2, 499-514 (2013). Reviewer: Philippe Gaucher (Paris) MSC: 55U35 55U10 18G55 PDF BibTeX XML Cite \textit{J. E. Bergner} and \textit{C. Rezk}, Math. Z. 274, No. 1--2, 499--514 (2013; Zbl 1270.55014) Full Text: DOI arXiv
Rezk, Charles A streamlined proof of Goodwillie’s \(n\)-excisive approximation. (English) Zbl 1268.55005 Algebr. Geom. Topol. 13, No. 2, 1049-1051 (2013). MSC: 55P99 PDF BibTeX XML Cite \textit{C. Rezk}, Algebr. Geom. Topol. 13, No. 2, 1049--1051 (2013; Zbl 1268.55005) Full Text: DOI arXiv
Rezk, Charles Modular isogeny complexes. (English) Zbl 1254.14030 Algebr. Geom. Topol. 12, No. 3, 1373-1403 (2012). Reviewer: Piotr Krasoń (Szczecin) MSC: 14H10 55N34 55S25 PDF BibTeX XML Cite \textit{C. Rezk}, Algebr. Geom. Topol. 12, No. 3, 1373--1403 (2012; Zbl 1254.14030) Full Text: DOI arXiv
Rezk, Charles Correction to “A Cartesian presentation of weak \(n\)-categories”. (English) Zbl 1203.18016 Geom. Topol. 14, No. 4, 2301-2304 (2010). MSC: 18G55 18D05 55U40 18G30 PDF BibTeX XML Cite \textit{C. Rezk}, Geom. Topol. 14, No. 4, 2301--2304 (2010; Zbl 1203.18016) Full Text: DOI
Rezk, Charles A Cartesian presentation of weak \(n\)-categories. (English) Zbl 1203.18015 Geom. Topol. 14, No. 1, 521-571 (2010); correction ibid. 14, No. 4, 2301-2304 (2010). Reviewer: Julia Bergner (Riverside) MSC: 18G55 18D05 55U40 18G30 PDF BibTeX XML Cite \textit{C. Rezk}, Geom. Topol. 14, No. 1, 521--571 (2010; Zbl 1203.18015) Full Text: DOI arXiv
Rezk, Charles The congruence criterion for power operations in Morava \(E\)-theory. (English) Zbl 1193.55010 Homology Homotopy Appl. 11, No. 2, 327-379 (2009). Reviewer: Martin D. Crossley (Swansea) MSC: 55S25 55S12 14L05 PDF BibTeX XML Cite \textit{C. Rezk}, Homology Homotopy Appl. 11, No. 2, 327--379 (2009; Zbl 1193.55010) Full Text: DOI Link arXiv
Mahowald, Mark; Rezk, Charles Topological modular forms of level 3. (English) Zbl 1192.55006 Pure Appl. Math. Q. 5, No. 2, 853-872 (2009). Reviewer: Markus Szymik (Bochum) MSC: 55N34 55Q45 PDF BibTeX XML Cite \textit{M. Mahowald} and \textit{C. Rezk}, Pure Appl. Math. Q. 5, No. 2, 853--872 (2009; Zbl 1192.55006) Full Text: DOI arXiv
Rezk, Charles The units of a ring spectrum and a logarithmic cohomology operation. (English) Zbl 1106.55002 J. Am. Math. Soc. 19, No. 4, 969-1014 (2006). Reviewer: Keith Johnson (Halifax) (MR2219307) MSC: 55N22 55P43 55S05 55S25 55P47 55P60 55N34 11F25 PDF BibTeX XML Cite \textit{C. Rezk}, J. Am. Math. Soc. 19, No. 4, 969--1014 (2006; Zbl 1106.55002) Full Text: DOI arXiv
Goerss, Paul G.; Henn, Hans-Werner; Mahowald, M.; Rezk, Charles A resolution of the \(K(2)\)-local sphere at the prime 3. (English) Zbl 1108.55009 Ann. Math. (2) 162, No. 2, 777-822 (2005). Reviewer: John McCleary (Poughkeepsie) MSC: 55P60 55P42 55Q10 55Q40 55Q45 55Q51 PDF BibTeX XML Cite \textit{P. G. Goerss} et al., Ann. Math. (2) 162, No. 2, 777--822 (2005; Zbl 1108.55009) Full Text: DOI
Rezk, Charles Every homotopy theory of simplicial algebras admits a proper model. (English) Zbl 0994.18008 Topology Appl. 119, No. 1, 65-94 (2002). Reviewer: Ioan Pop (Iaşi) MSC: 18G55 55U35 18C10 PDF BibTeX XML Cite \textit{C. Rezk}, Topology Appl. 119, No. 1, 65--94 (2002; Zbl 0994.18008) Full Text: DOI
Rezk, Charles; Schwede, Stefan; Shipley, Brooke Simplicial structures on model categories and functors. (English) Zbl 0979.55013 Am. J. Math. 123, No. 3, 551-575 (2001). Reviewer: Paul Goerss (Evanston) MSC: 55U35 18D20 PDF BibTeX XML Cite \textit{C. Rezk} et al., Am. J. Math. 123, No. 3, 551--575 (2001; Zbl 0979.55013) Full Text: DOI Link
Rezk, Charles A model for the homotopy theory of homotopy theory. (English) Zbl 0961.18008 Trans. Am. Math. Soc. 353, No. 3, 973-1007 (2001). Reviewer: Marek Golasiński (Toruń) MSC: 18G30 55U35 PDF BibTeX XML Cite \textit{C. Rezk}, Trans. Am. Math. Soc. 353, No. 3, 973--1007 (2001; Zbl 0961.18008) Full Text: DOI arXiv
Mahowald, Mark; Rezk, Charles Brown-Comenetz duality and the Adams spectral sequence. (English) Zbl 0942.55012 Am. J. Math. 121, No. 6, 1153-1177 (1999). Reviewer: Katsumi Shimomura (Kochi) MSC: 55P42 55T15 55P43 PDF BibTeX XML Cite \textit{M. Mahowald} and \textit{C. Rezk}, Am. J. Math. 121, No. 6, 1153--1177 (1999; Zbl 0942.55012) Full Text: DOI Link
Rezk, Charles Notes on the Hopkins-Miller theorem. (English) Zbl 0910.55004 Mahowald, Mark (ed.) et al., Homotopy theory via algebraic geometry and group representations. Proceedings of a conference on homotopy theory, Evanston, IL, USA, March 23–27, 1997. Providence, RI: American Mathematical Society. Contemp. Math. 220, 313-366 (1998). Reviewer: Keith Johnson (Halifax) MSC: 55N22 55P42 55S99 55N15 PDF BibTeX XML Cite \textit{C. Rezk}, Contemp. Math. 220, 313--366 (1998; Zbl 0910.55004)