Beaudry, Agnès; Goerss, Paul G.; Hopkins, Michael J.; Stojanoska, Vesna Dualizing spheres for compact \(p\)-adic analytic groups and duality in chromatic homotopy. (English) Zbl 1504.55011 Invent. Math. 229, No. 3, 1301-1434 (2022). Reviewer: Ningchuan Zhang (Philadelphia) MSC: 55P92 55R25 55R50 55U30 20E18 22E41 PDFBibTeX XMLCite \textit{A. Beaudry} et al., Invent. Math. 229, No. 3, 1301--1434 (2022; Zbl 1504.55011) Full Text: DOI arXiv
Beaudry, Agnès; Goerss, Paul G.; Henn, Hans-Werner Chromatic splitting for the \(K(2)\)-local sphere at \(p=2\). (English) Zbl 1494.55016 Geom. Topol. 26, No. 1, 377-476 (2022). Reviewer: David Barnes (Belfast) MSC: 55P42 55P60 55Q51 PDFBibTeX XMLCite \textit{A. Beaudry} et al., Geom. Topol. 26, No. 1, 377--476 (2022; Zbl 1494.55016) Full Text: DOI arXiv
Barthel, Tobias; Beaudry, Agnès; Goerss, Paul G.; Stojanoska, Vesna Constructing the determinant sphere using a Tate twist. (English) Zbl 1493.55012 Math. Z. 301, No. 1, 255-274 (2022). Reviewer: Jack Davies (Bonn) MSC: 55P42 55Q10 55N20 55N22 PDFBibTeX XMLCite \textit{T. Barthel} et al., Math. Z. 301, No. 1, 255--274 (2022; Zbl 1493.55012) Full Text: DOI arXiv
Goerss, Paul G.; Hopkins, Michael J. Comparing dualities in the \(K(n)\)-local category. (English) Zbl 1490.55003 Balchin, Scott (ed.) et al., Equivariant topology and derived algebra. Based on the conference, Trondheim, Norway, 2019. In honour of Professor J. P. C. Greenlees’ 60th birthday. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 474, 1-38 (2022). Reviewer: Julie Bergner (Riverside) MSC: 55N22 55P42 55P25 14L05 PDFBibTeX XMLCite \textit{P. G. Goerss} and \textit{M. J. Hopkins}, Lond. Math. Soc. Lect. Note Ser. 474, 1--38 (2022; Zbl 1490.55003) Full Text: DOI arXiv Link
Beaudry, Agnes; Bobkova, Irina; Goerss, Paul G.; Henn, Hans-Werner; Pham, Viet-Cuong; Stojanoska, Vesna The Exotic \(K(2)\)-Local Picard Group at the Prime \(2\). arXiv:2212.07858 Preprint, arXiv:2212.07858 [math.AT] (2022). MSC: 55P42 55Q51 55Q10 55P60 14C22 55Q50 BibTeX Cite \textit{A. Beaudry} et al., ``The Exotic $K(2)$-Local Picard Group at the Prime $2$'', Preprint, arXiv:2212.07858 [math.AT] (2022) Full Text: arXiv OA License
Bobkova, Irina; Goerss, Paul G. Topological resolutions in \(K(2)\)-local homotopy theory at the prime 2. (English) Zbl 1419.55014 J. Topol. 11, No. 4, 918-957 (2018). Reviewer: Constanze Roitzheim (Canterbury) MSC: 55Q45 55P42 55Q10 55Q40 PDFBibTeX XMLCite \textit{I. Bobkova} and \textit{P. G. Goerss}, J. Topol. 11, No. 4, 918--957 (2018; Zbl 1419.55014) Full Text: DOI arXiv
Goerss, Paul G.; Henn, Hans-Werner The Brown-Comenetz dual of the \(K(2)\)-local sphere at the prime 3. (English) Zbl 1339.55009 Adv. Math. 288, 648-678 (2016). Reviewer: Nicolas Ricka (Detroit) MSC: 55P42 55Q45 PDFBibTeX XMLCite \textit{P. G. Goerss} and \textit{H.-W. Henn}, Adv. Math. 288, 648--678 (2016; Zbl 1339.55009) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{P. Goerss} et al., J. Topol. 8, No. 1, 267--294 (2015; Zbl 1314.55006) Full Text: DOI arXiv
Goerss, Paul G.; Henn, Hans-Werner; Mahowald, Mark The rational homotopy of the \(K(2)\)-local sphere and the chromatic splitting conjecture for the prime 3 and level 2. (English) Zbl 1315.55009 Doc. Math. 19, 1271-1290 (2014). Reviewer: Lennart Meier (Charlottesville) MSC: 55Q45 55P42 20J06 PDFBibTeX XMLCite \textit{P. G. Goerss} et al., Doc. Math. 19, 1271--1290 (2014; Zbl 1315.55009) Full Text: arXiv EMIS
Goerss, Paul G.; Jardine, John F. Simplicial homotopy theory. Reprint of the 1999 original. (English) Zbl 1195.55001 Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-3-0346-0188-7/pbk; 978-3-0346-0189-4/ebook). xvi, 510 p. (2010). Reviewer: J. Remedios (La Laguna) MSC: 55-01 PDFBibTeX XMLCite \textit{P. G. Goerss} and \textit{J. F. Jardine}, Simplicial homotopy theory. Reprint of the 1999 original. Basel: Birkhäuser (2010; Zbl 1195.55001) Full Text: DOI
Goerss, Paul G. (ed.); Greenlees, John P. C. (ed.); Schwede, Stefan (ed.) Homotopy theory. Abstracts from the workshop held September 16–22, 2007. (English) Zbl 1177.55003 Oberwolfach Rep. 4, No. 4, 2671-2726 (2007). MSC: 55-06 55Pxx 00B05 PDFBibTeX XMLCite \textit{P. G. Goerss} (ed.) et al., Oberwolfach Rep. 4, No. 4, 2671--2726 (2007; Zbl 1177.55003) Full Text: DOI Link
Goerss, Paul; Schemmerhorn, Kristen Model categories and simplicial methods. (English) Zbl 1134.18007 Avramov, Luchezar L. (ed.) et al., Interactions between homotopy theory and algebra. Summer school, University of Chicago, IL, USA, July 26–August 6, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3814-3/pbk). Contemporary Mathematics 436, 3-49 (2007). Reviewer: Georges Hoff (Villetaneuse) MSC: 18G55 18G10 18G30 18G50 55U35 PDFBibTeX XMLCite \textit{P. Goerss} and \textit{K. Schemmerhorn}, Contemp. Math. 436, 3--49 (2007; Zbl 1134.18007) Full Text: 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 PDFBibTeX XMLCite \textit{P. G. Goerss} et al., Ann. Math. (2) 162, No. 2, 777--822 (2005; Zbl 1108.55009) Full Text: DOI arXiv
Goerss, Paul; Henn, Hans-Werner; Mahowald, Mark The homotopy of \(L_2V(1)\) for the prime 3. (English) Zbl 1052.55010 Arone, Gregory (ed.) et al., Categorical decomposition techniques in algebraic topology. Proceedings of the international conference in algebraic topology, Isle of Skye, UK, June 2001. Basel: Birkhäuser (ISBN 3-7643-0400-6/hbk). Prog. Math. 215, 125-151 (2004). Reviewer: Katsumi Shimomura (Kochi) MSC: 55P60 55P42 PDFBibTeX XMLCite \textit{P. Goerss} et al., Prog. Math. 215, 125--151 (2004; Zbl 1052.55010)
Blanc, D.; Dwyer, W. G.; Goerss, P. G. The realization space of a \(\Pi\)-algebra: a moduli problem in algebraic topology. (English) Zbl 1054.55007 Topology 43, No. 4, 857-892 (2004). Reviewer: Rick Jardine (London /Ontario) MSC: 55P15 55S45 55P65 PDFBibTeX XMLCite \textit{D. Blanc} et al., Topology 43, No. 4, 857--892 (2004; Zbl 1054.55007) Full Text: DOI Backlinks: MO
Goerss, Paul G.; Hopkins, Michael J. André-Quillen (co-)homology for simplicial algebras over simplicial operads. (English) Zbl 0999.18009 Arlettaz, Dominique (ed.) et al., Une dégustation topologique: homotopy theory in the Swiss Alps. Proceedings of the Arolla conference on algebraic topology, August 25-September 1, 1999, Arolla, Switzerland. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 265, 41-85 (2000). Reviewer: Alex Martsinkovsky (Boston) MSC: 18D50 13D03 55P48 55P43 55U35 16W30 PDFBibTeX XMLCite \textit{P. G. Goerss} and \textit{M. J. Hopkins}, Contemp. Math. 265, 41--85 (2000; Zbl 0999.18009)
Baues, Hans-Joachim; Goerss, Paul A homotopy operation spectral sequence for the computation of homotopy groups. (English) Zbl 0958.55013 Topology 39, No. 1, 161-192 (2000). Reviewer: Rick Jardine (London /Ontario) MSC: 55Q35 55T99 PDFBibTeX XMLCite \textit{H.-J. Baues} and \textit{P. Goerss}, Topology 39, No. 1, 161--192 (2000; Zbl 0958.55013) Full Text: DOI
Goerss, Paul G.; Jardine, John F. Simplicial homotopy theory. (English) Zbl 0949.55001 Progress in Mathematics (Boston, Mass.). 174. Basel: Birkhäuser. xv, 510 p. (1999). Reviewer: Marek Golasiński (Toruń) MSC: 55-01 18G30 55Q99 55P99 55U35 55U10 PDFBibTeX XMLCite \textit{P. G. Goerss} and \textit{J. F. Jardine}, Simplicial homotopy theory. Basel: Birkhäuser (1999; Zbl 0949.55001) Backlinks: MO MO
Goerss, Paul; Turner, James Homotopy theory of simplicial abelian Hopf algebras. (English) Zbl 0927.55022 J. Pure Appl. Algebra 135, No. 2, 167-206 (1999). Reviewer: G.Hoff (Villetaneuse) MSC: 55U99 16W30 55U35 18G30 PDFBibTeX XMLCite \textit{P. Goerss} and \textit{J. Turner}, J. Pure Appl. Algebra 135, No. 2, 167--206 (1999; Zbl 0927.55022) Full Text: DOI
Goerss, Paul G.; Turner, James Homotopy and homology of simplicial Abelian Hopf algebras. (English) Zbl 0940.16006 Math. Z. 230, No. 3, 413-449 (1999). Reviewer: Martin D.Crossley (Norwich) MSC: 16E40 16W30 57T05 18G55 55P65 55Q99 55U35 PDFBibTeX XMLCite \textit{P. G. Goerss} and \textit{J. Turner}, Math. Z. 230, No. 3, 413--449 (1999; Zbl 0940.16006) Full Text: DOI
Goerss, P. G.; Jardine, J. F. Localization theories for simplicial presheaves. (English) Zbl 0914.55004 Can. J. Math. 50, No. 5, 1048-1089 (1998). Reviewer: Corina Mohorianu (Iaşi) MSC: 55P60 19E08 18F20 PDFBibTeX XMLCite \textit{P. G. Goerss} and \textit{J. F. Jardine}, Can. J. Math. 50, No. 5, 1048--1089 (1998; Zbl 0914.55004) Full Text: DOI
Goerss, Paul Comparing completions of a space at a prime. (English) Zbl 0912.55009 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, 65-102 (1998). Reviewer: Corina Mohorianu (Iaşi) MSC: 55P60 55T15 PDFBibTeX XMLCite \textit{P. Goerss}, Contemp. Math. 220, 65--102 (1998; Zbl 0912.55009)
Goerss, Paul G. The homology of homotopy inverse limits. (English) Zbl 0856.55014 J. Pure Appl. Algebra 111, No. 1-3, 83-122 (1996). MSC: 55T99 57T05 PDFBibTeX XMLCite \textit{P. G. Goerss}, J. Pure Appl. Algebra 111, No. 1--3, 83--122 (1996; Zbl 0856.55014) Full Text: DOI
Goerss, Paul G.; Lada, Thomas J. Relations among homotopy operations for simplicial commutative algebras. (English) Zbl 0851.18009 Proc. Am. Math. Soc. 123, No. 9, 2637-2641 (1995). Reviewer: G.Hoff (Villetaneuse) MSC: 18G30 55S99 55Q35 PDFBibTeX XMLCite \textit{P. G. Goerss} and \textit{T. J. Lada}, Proc. Am. Math. Soc. 123, No. 9, 2637--2641 (1995; Zbl 0851.18009) Full Text: DOI
Goerss, Paul G. Simplicial chains over a field and \(p\)-local homotopy theory. (English) Zbl 0849.55011 Math. Z. 220, No. 4, 523-544 (1995). Reviewer: M.Golasiński (Toruń) MSC: 55P60 55U35 18G30 PDFBibTeX XMLCite \textit{P. G. Goerss}, Math. Z. 220, No. 4, 523--544 (1995; Zbl 0849.55011) Full Text: DOI EuDML
Goerss, Paul G. Homotopy fixed points for Galois groups. (English) Zbl 0830.55002 Cenkl, Mila (ed.) et al., The Čech centennial. A conference on homotopy theory dedicated to Eduard Čech on the occasion of his 100th birthday, June 22-26, 1993, Northeastern University, Boston, MA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 181, 187-224 (1995). Reviewer: K.H.Kamps (Hagen) MSC: 55N20 55M20 55U35 55P47 16W30 20E18 18G55 55P91 PDFBibTeX XMLCite \textit{P. G. Goerss}, Contemp. Math. 181, 187--224 (1995; Zbl 0830.55002)
Goerss, Paul G. Barratt’s desuspension spectral sequence and the Lie ring analyzer. (English) Zbl 0815.55005 Q. J. Math., Oxf. II. Ser. 44, No. 173, 43-85 (1993). Reviewer: K.A.Hardie (Rondebosch) MSC: 55T99 55Q05 55U10 PDFBibTeX XMLCite \textit{P. G. Goerss}, Q. J. Math., Oxf. II. Ser. 44, No. 173, 43--85 (1993; Zbl 0815.55005) Full Text: DOI
Goerss, P.; Lannes, J.; Morel, F. Hopf algebras, Witt vectors, and Brown-Gitler spectra. (English) Zbl 0794.55007 Tangora, Martin C. (ed.), Algebraic topology, Oaxtepec 1991. Proceedings of an international conference on algebraic topology, held July 4-11, 1991 in Oaxtepec, Mexico. Providence, RI: American Mathematical Society. Contemp. Math. 146, 111-128 (1993). MSC: 55P42 PDFBibTeX XMLCite \textit{P. Goerss} et al., Contemp. Math. 146, 111--128 (1993; Zbl 0794.55007)
Goerss, Paul; Lannes, Jean; Morel, Fabien Vecteurs de Witt non commutatifs et représentabilité de l’homologie modulo \(p\). (Noncommutative Witt vectors and representability of homology modulo \(p\)). (French) Zbl 0769.55011 Invent. Math. 108, No. 1, 163-227 (1992). Reviewer: D.Davis (Bethlehem) MSC: 55S37 55P35 55P42 PDFBibTeX XMLCite \textit{P. Goerss} et al., Invent. Math. 108, No. 1, 163--227 (1992; Zbl 0769.55011) Full Text: DOI EuDML
Goerss, Paul G. On the André-Quillen cohomology of commutative \(F_ 2\)-algebras. (English) Zbl 0742.13008 Astérisque. 186. Paris: Société Mathématique de France, 169 p. (1990). Reviewer: R.Fröberg (Stockholm) MSC: 13D03 13-02 18G30 13E10 PDFBibTeX XMLCite \textit{P. G. Goerss}, On the André-Quillen cohomology of commutative \(F_ 2\)-algebras. Paris: Société Mathématique de France (1990; Zbl 0742.13008)
Goerss, Paul G. André-Quillen cohomology and the homotopy groups of mapping spaces: Understanding the \(E_ 2\)-term of the Bousfield-Kan spectral sequence. (English) Zbl 0704.55014 J. Pure Appl. Algebra 63, No. 2, 113-153 (1990). Reviewer: D.C.Demaria MSC: 55T15 55Q20 PDFBibTeX XMLCite \textit{P. G. Goerss}, J. Pure Appl. Algebra 63, No. 2, 113--153 (1990; Zbl 0704.55014) Full Text: DOI
Goerss, Paul G. André-Quillen cohomology and the Bousfield-Kan spectral sequence. (English) Zbl 0736.55015 Théorie de l’homotopie, Colloq. CNRS-NSF-SMF, Luminy/Fr. 1988, Astérisque 191, 109-209 (1990). Reviewer: John Rosenknop (Berlin) MSC: 55T15 55P65 18G40 PDFBibTeX XMLCite \textit{P. G. Goerss}, in: The Fuller index and \(\mathbb{T}\)-equivariant stable homotopy theory. . 109--209 (1990; Zbl 0736.55015)
Goerss, Paul G. A Hilton-Milnor theorem for categories of simplicial algebras. (English) Zbl 0689.55021 Am. J. Math. 111, No. 6, 927-971 (1989). Reviewer: G.Hoff MSC: 55U35 55P99 13D99 PDFBibTeX XMLCite \textit{P. G. Goerss}, Am. J. Math. 111, No. 6, 927--971 (1989; Zbl 0689.55021) Full Text: DOI
Cohen, Fred R.; Davis, Donald M.; Goerss, Paul G.; Mahowald, Mark E. Integral Brown-Gitler spectra. (English) Zbl 0669.55004 Proc. Am. Math. Soc. 103, No. 4, 1299-1304 (1988). Reviewer: R.Kultze MSC: 55P42 55P35 55N20 PDFBibTeX XMLCite \textit{F. R. Cohen} et al., Proc. Am. Math. Soc. 103, No. 4, 1299--1304 (1988; Zbl 0669.55004) Full Text: DOI
Goerss, Paul; Smith, Larry Towers and injective cohomology algebras. (English) Zbl 0683.55003 Trans. Am. Math. Soc. 303, 619-636 (1987). MSC: 55P15 55S35 PDFBibTeX XMLCite \textit{P. Goerss} and \textit{L. Smith}, Trans. Am. Math. Soc. 303, 619--636 (1987; Zbl 0683.55003) Full Text: DOI
Curtis, Edward B.; Goerss, Paul; Mahowald, Mark; Milgram, R. James Calculations of unstable Adams \(E_ 2\) terms for spheres. (English) Zbl 0638.55004 Algebraic topology, Proc. Workshop, Seattle/Wash. 1985, Lect. Notes Math. 1286, 208-266 (1987). Reviewer: J.McCleary MSC: 55-04 55Q40 55T15 PDFBibTeX XML
Goerss, Paul; Lannes, Jean Realizing unstable injectives. (English) Zbl 0636.55008 Math. Z. 196, 239-248 (1987). Reviewer: E.Ossa MSC: 55S10 55T15 55P42 PDFBibTeX XMLCite \textit{P. Goerss} and \textit{J. Lannes}, Math. Z. 196, 239--248 (1987; Zbl 0636.55008) Full Text: DOI EuDML
Goerss, Paul G. Unstable projectives and stable Ext: With applications. (English) Zbl 0638.55018 Proc. Lond. Math. Soc., III. Ser. 53, 539-561 (1986). Reviewer: D.C.Johnson MSC: 55S10 55P42 55S99 PDFBibTeX XMLCite \textit{P. G. Goerss}, Proc. Lond. Math. Soc. (3) 53, 539--561 (1986; Zbl 0638.55018) Full Text: DOI
Goerss, Paul G.; Jones, John D. S.; Mahowald, Mark E. Some generalized Brown-Gitler spectra. (English) Zbl 0597.55006 Trans. Am. Math. Soc. 294, 113-132 (1986). Reviewer: E.Ossa MSC: 55P42 55N20 55S10 55S25 55T25 PDFBibTeX XMLCite \textit{P. G. Goerss} et al., Trans. Am. Math. Soc. 294, 113--132 (1986; Zbl 0597.55006) Full Text: DOI
Goerss, Paul G. A direct construction for the duals of Brown-Gitler spectra. (English) Zbl 0584.55008 Indiana Univ. Math. J. 34, 733-751 (1985). Reviewer: K.H.Knapp MSC: 55P42 55S10 55T20 PDFBibTeX XMLCite \textit{P. G. Goerss}, Indiana Univ. Math. J. 34, 733--751 (1985; Zbl 0584.55008) Full Text: DOI
Cohen, Ralph L.; Goerss, Paul Secondary cohomology operations that detect homotopy classes. (English) Zbl 0546.55017 Topology 23, 177-194 (1984). Reviewer: A.Liulevicius MSC: 55Q45 55S20 55T15 55P42 55S10 PDFBibTeX XMLCite \textit{R. L. Cohen} and \textit{P. Goerss}, Topology 23, 177--194 (1984; Zbl 0546.55017) Full Text: DOI