Barnes, David; Roitzheim, Constanze Foundations of stable homotopy theory. (English) Zbl 07162754 Cambridge Studies in Advanced Mathematics 185. Cambridge: Cambridge University Press (ISBN 978-1-108-48278-3/hbk; 978-1-108-63657-5/ebook). vi, 423 p. (2020). MSC: 55-02 55P65 PDF BibTeX XML Cite \textit{D. Barnes} and \textit{C. Roitzheim}, Foundations of stable homotopy theory. Cambridge: Cambridge University Press (2020; Zbl 07162754) Full Text: DOI
Barnes, David; Greenlees, J. P. C.; Kȩdziorek, Magdalena An algebraic model for rational naïve-commutative \(G\)-equivariant ring spectra for finite \(G\). (English) Zbl 1406.55001 Homology Homotopy Appl. 21, No. 1, 73-93 (2019). Reviewer: Constanze Roitzheim (Canterbury) MSC: 55N91 55P42 55P60 PDF BibTeX XML Cite \textit{D. Barnes} et al., Homology Homotopy Appl. 21, No. 1, 73--93 (2018; Zbl 1406.55001) Full Text: DOI
Barnes, David Rational orthogonal calculus. (English) Zbl 1386.55012 J. Homotopy Relat. Struct. 12, No. 4, 1009-1032 (2017). Reviewer: Marja Kankaanrinta (Helsinki) MSC: 55P42 55U35 PDF BibTeX XML Cite \textit{D. Barnes}, J. Homotopy Relat. Struct. 12, No. 4, 1009--1032 (2017; Zbl 1386.55012) Full Text: DOI arXiv
Barnes, David Rational \(O(2)\)-equivariant spectra. (English) Zbl 1388.55006 Homology Homotopy Appl. 19, No. 1, 225-252 (2017). Reviewer: Constanze Roitzheim (Canterbury) MSC: 55N91 55P42 55P60 PDF BibTeX XML Cite \textit{D. Barnes}, Homology Homotopy Appl. 19, No. 1, 225--252 (2017; Zbl 1388.55006) Full Text: DOI arXiv
Barnes, David; Greenlees, J. P. C.; Kędziorek, Magdalena; Shipley, Brooke Rational \(\mathrm{SO}(2)\)-equivariant spectra. (English) Zbl 1369.55005 Algebr. Geom. Topol. 17, No. 2, 983-1020 (2017). Reviewer: Akhil Mathew (Cambridge) MSC: 55N91 55P42 55P60 55P91 PDF BibTeX XML Cite \textit{D. Barnes} et al., Algebr. Geom. Topol. 17, No. 2, 983--1020 (2017; Zbl 1369.55005) Full Text: DOI arXiv
Barnes, David A monoidal algebraic model for rational \(\mathrm{SO}(2)\)-spectra. (English) Zbl 1371.55008 Math. Proc. Camb. Philos. Soc. 161, No. 1, 167-192 (2016). MSC: 55P91 55P42 55P62 55U35 PDF BibTeX XML Cite \textit{D. Barnes}, Math. Proc. Camb. Philos. Soc. 161, No. 1, 167--192 (2016; Zbl 1371.55008) Full Text: DOI
Barnes, David; Eldred, Rosona Comparing the orthogonal and homotopy functor calculi. (English) Zbl 1341.55004 J. Pure Appl. Algebra 220, No. 11, 3650-3675 (2016). Reviewer: Richard John Steiner (Glasgow) MSC: 55P65 PDF BibTeX XML Cite \textit{D. Barnes} and \textit{R. Eldred}, J. Pure Appl. Algebra 220, No. 11, 3650--3675 (2016; Zbl 1341.55004) Full Text: DOI arXiv
Barnes, David; Eldred, Rosona Capturing Goodwillie’s derivative. (English) Zbl 1419.55021 J. Pure Appl. Algebra 220, No. 1, 197-222 (2016). MSC: 55U35 18G55 55P91 PDF BibTeX XML Cite \textit{D. Barnes} and \textit{R. Eldred}, J. Pure Appl. Algebra 220, No. 1, 197--222 (2016; Zbl 1419.55021) Full Text: DOI arXiv
Barnes, David; Roitzheim, Constanze Homological localisation of model categories. (English) Zbl 1318.55009 Appl. Categ. Struct. 23, No. 3, 487-505 (2015). Reviewer: Richard John Steiner (Glasgow) MSC: 55P42 55P60 18E30 PDF BibTeX XML Cite \textit{D. Barnes} and \textit{C. Roitzheim}, Appl. Categ. Struct. 23, No. 3, 487--505 (2015; Zbl 1318.55009) Full Text: DOI arXiv
Barnes, David; Roitzheim, Constanze Rational equivariant rigidity. (English) Zbl 1369.55008 Ausoni, Christian (ed.) et al., An Alpine expedition through algebraic topology. Proceedings of the fourth Arolla conference on algebraic topology, Arolla, Switzerland, August 20-25, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9145-2/pbk; 978-1-4704-1685-0/ebook). Contemporary Mathematics 617, 13-30 (2014). Reviewer: Marc Stephan (Vancouver) MSC: 55P42 55P91 PDF BibTeX XML Cite \textit{D. Barnes} and \textit{C. Roitzheim}, Contemp. Math. 617, 13--30 (2014; Zbl 1369.55008) Full Text: arXiv
Barnes, David; Roitzheim, Constanze Stable left and right Bousfield localisations. (English) Zbl 1297.55020 Glasg. Math. J. 56, No. 1, 13-42 (2014). Reviewer: Steffen Sagave (Bonn) MSC: 55U35 55P42 55P60 18E30 16D90 PDF BibTeX XML Cite \textit{D. Barnes} and \textit{C. Roitzheim}, Glasg. Math. J. 56, No. 1, 13--42 (2014; Zbl 1297.55020) Full Text: DOI arXiv
Barnes, David; Oman, Peter Model categories for orthogonal calculus. (English) Zbl 1268.55001 Algebr. Geom. Topol. 13, No. 2, 959-999 (2013). Reviewer: Jose Calcines (La Laguna) MSC: 55P42 55P91 55U35 PDF BibTeX XML Cite \textit{D. Barnes} and \textit{P. Oman}, Algebr. Geom. Topol. 13, No. 2, 959--999 (2013; Zbl 1268.55001) Full Text: DOI arXiv
Barnes, David; Roitzheim, Constanze Local framings. (English) Zbl 1260.55010 New York J. Math. 17, 513-552 (2011). Reviewer: Daniel G. Davis (Lafayette) MSC: 55P42 55P60 PDF BibTeX XML Cite \textit{D. Barnes} and \textit{C. Roitzheim}, New York J. Math. 17, 513--552 (2011; Zbl 1260.55010) Full Text: EMIS arXiv
Barnes, David; Roitzheim, Constanze Monoidality of Franke’s exotic model. (English) Zbl 1246.55009 Adv. Math. 228, No. 6, 3223-3248 (2011). Reviewer: Samuel Smith (Philadelphia) MSC: 55P42 55P60 55U35 PDF BibTeX XML Cite \textit{D. Barnes} and \textit{C. Roitzheim}, Adv. Math. 228, No. 6, 3223--3248 (2011; Zbl 1246.55009) Full Text: DOI arXiv
Barnes, David Rational \(\mathbb Z_{p}\)-equivariant spectra. (English) Zbl 1254.55005 Algebr. Geom. Topol. 11, No. 4, 2107-2135 (2011). Reviewer: Andrew Baker (Glasgow) MSC: 55N91 55P42 PDF BibTeX XML Cite \textit{D. Barnes}, Algebr. Geom. Topol. 11, No. 4, 2107--2135 (2011; Zbl 1254.55005) Full Text: DOI arXiv
Barnes, David Classifying rational \(G\)-spectra for finite \(G\). (English) Zbl 1163.55003 Homology Homotopy Appl. 11, No. 1, 141-170 (2009). Reviewer: Philippe Gaucher (Paris) MSC: 55N91 55P42 PDF BibTeX XML Cite \textit{D. Barnes}, Homology Homotopy Appl. 11, No. 1, 141--170 (2009; Zbl 1163.55003) Full Text: DOI Link arXiv
Barnes, D. Splitting monoidal stable model categories. (English) Zbl 1163.55002 J. Pure Appl. Algebra 213, No. 5, 846-856 (2009). Reviewer: Lisbeth Fajstrup (Aalborg) MSC: 55N91 55P42 PDF BibTeX XML Cite \textit{D. Barnes}, J. Pure Appl. Algebra 213, No. 5, 846--856 (2009; Zbl 1163.55002) Full Text: DOI arXiv