Félix, Yves; Halperin, Steve Rational homotopy via Sullivan models and enriched Lie algebras. (English) Zbl 07803736 EMS Surv. Math. Sci. 10, No. 1, 101-122 (2023). MSC: 55P62 PDFBibTeX XMLCite \textit{Y. Félix} and \textit{S. Halperin}, EMS Surv. Math. Sci. 10, No. 1, 101--122 (2023; Zbl 07803736) Full Text: DOI
Félix, Yves; Halperin, Steve Enriched Differential Lie Algebras in Topology. arXiv:2208.12171 Preprint, arXiv:2208.12171 [math.AT] (2022). MSC: 55P62 BibTeX Cite \textit{Y. Félix} and \textit{S. Halperin}, ``Enriched Differential Lie Algebras in Topology'', Preprint, arXiv:2208.12171 [math.AT] (2022) Full Text: arXiv OA License
Felix, Yves; Halperin, Steve Enriched Lie algebras in topology, I. arXiv:2101.00410 Preprint, arXiv:2101.00410 [math.AT] (2021). MSC: 55P62 BibTeX Cite \textit{Y. Felix} and \textit{S. Halperin}, ``Enriched Lie algebras in topology, I'', Preprint, arXiv:2101.00410 [math.AT] (2021) Full Text: arXiv OA License
Félix, Yves; Halperin, Steve The depth of a Riemann surface and of a right-angled Artin group. (English) Zbl 1450.55006 J. Homotopy Relat. Struct. 15, No. 1, 223-248 (2020). Reviewer: Abdelhadi Zaim (Casablanca) MSC: 55P62 20F36 20F14 20F40 55P20 PDFBibTeX XMLCite \textit{Y. Félix} and \textit{S. Halperin}, J. Homotopy Relat. Struct. 15, No. 1, 223--248 (2020; Zbl 1450.55006) Full Text: DOI arXiv
Félix, Yves; Halperin, Steve A note on Gorenstein spaces. (English) Zbl 1460.55012 J. Pure Appl. Algebra 223, No. 11, 4937-4953 (2019). Reviewer: Samuel Smith (Philadelphia) MSC: 55P62 PDFBibTeX XMLCite \textit{Y. Félix} and \textit{S. Halperin}, J. Pure Appl. Algebra 223, No. 11, 4937--4953 (2019; Zbl 1460.55012) Full Text: DOI arXiv
Felix, Yves; Halperin, Steve Aspherical completions and rationally inert elements. arXiv:1904.08714 Preprint, arXiv:1904.08714 [math.AT] (2019). MSC: 55P62 BibTeX Cite \textit{Y. Felix} and \textit{S. Halperin}, ``Aspherical completions and rationally inert elements'', Preprint, arXiv:1904.08714 [math.AT] (2019) Full Text: arXiv OA License
Felix, Yves; Halperin, Steve Sullivan completions. arXiv:1904.08712 Preprint, arXiv:1904.08712 [math.AT] (2019). MSC: 55P62 BibTeX Cite \textit{Y. Felix} and \textit{S. Halperin}, ``Sullivan completions'', Preprint, arXiv:1904.08712 [math.AT] (2019) Full Text: arXiv OA License
Félix, Yves; Halperin, Steve The depth and LS category of a topological space. (English) Zbl 1411.55003 Math. Scand. 123, No. 2, 220-238 (2018). Reviewer: Július Korbaš (Bratislava) MSC: 55M30 55P62 PDFBibTeX XMLCite \textit{Y. Félix} and \textit{S. Halperin}, Math. Scand. 123, No. 2, 220--238 (2018; Zbl 1411.55003) Full Text: DOI
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude On the growth of the homology of a free loop space. II. (Sur la croissance de l’homologie des espaces de lacets. II.) (English. French summary) Zbl 1409.55009 Ann. Inst. Fourier 67, No. 6, 2519-2531 (2017). Reviewer: Katsuhiko Kuribayashi (Nagano) MSC: 55P62 PDFBibTeX XMLCite \textit{Y. Félix} et al., Ann. Inst. Fourier 67, No. 6, 2519--2531 (2017; Zbl 1409.55009) Full Text: DOI
Félix, Yves; Halperin, Steve Rational homotopy theory via Sullivan models: a survey. (English) Zbl 1383.55009 ICCM Not. 5, No. 2, 14-36 (2017). MSC: 55P62 55-02 PDFBibTeX XMLCite \textit{Y. Félix} and \textit{S. Halperin}, ICCM Not. 5, No. 2, 14--36 (2017; Zbl 1383.55009) Full Text: DOI arXiv
Félix, Yves; Halperin, Steve Malcev completions, LS category, and depth. (English) Zbl 1377.55009 Bol. Soc. Mat. Mex., III. Ser. 23, No. 1, 267-288 (2017). Reviewer: Yuli Rudyak (Gainesville) MSC: 55P62 55M30 17B30 PDFBibTeX XMLCite \textit{Y. Félix} and \textit{S. Halperin}, Bol. Soc. Mat. Mex., III. Ser. 23, No. 1, 267--288 (2017; Zbl 1377.55009) Full Text: DOI
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude Rational homotopy theory II. (English) Zbl 1325.55001 Hackensack, NJ: World Scientific (ISBN 978-981-4651-42-4/hbk; 978-981-4651-45-5/ebook). xxxvi, 412 p. (2015). Reviewer: Samuel Smith (Philadelphia) MSC: 55-02 55P62 PDFBibTeX XMLCite \textit{Y. Félix} et al., Rational homotopy theory II. Hackensack, NJ: World Scientific (2015; Zbl 1325.55001) Full Text: DOI
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude The ranks of the homotopy groups of odd degree of a finite complex. (English) Zbl 1347.55008 J. Pure Appl. Algebra 219, No. 3, 494-501 (2015). Reviewer: Samuel Smith (Philadelphia) MSC: 55P35 55P62 PDFBibTeX XMLCite \textit{Y. Félix} et al., J. Pure Appl. Algebra 219, No. 3, 494--501 (2015; Zbl 1347.55008) Full Text: DOI
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude Regularity in the growth of the loop space homology of a finite CW complex. (English) Zbl 1301.55007 Proc. Am. Math. Soc. 142, No. 3, 1025-1033 (2014). Reviewer: Samuel Smith (Philadelphia) MSC: 55P62 55P35 17B70 PDFBibTeX XMLCite \textit{Y. Félix} et al., Proc. Am. Math. Soc. 142, No. 3, 1025--1033 (2014; Zbl 1301.55007) Full Text: DOI Link
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude On the growth of the homology of a free loop space. (English) Zbl 1300.55016 Pure Appl. Math. Q. 9, No. 1, 167-187 (2013). Reviewer: Aniceto Murillo (Malaga) MSC: 55P62 55P35 PDFBibTeX XMLCite \textit{Y. Félix} et al., Pure Appl. Math. Q. 9, No. 1, 167--187 (2013; Zbl 1300.55016) Full Text: DOI
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude The ranks of the homotopy groups of a finite dimensional complex. (English) Zbl 1261.55003 Can. J. Math. 65, No. 1, 82-119 (2013). Reviewer: Samuel Smith (Philadelphia) MSC: 55P35 55P62 PDFBibTeX XMLCite \textit{Y. Félix} et al., Can. J. Math. 65, No. 1, 82--119 (2013; Zbl 1261.55003) Full Text: DOI
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude The structure of homotopy Lie algebras. (English) Zbl 1234.55005 Comment. Math. Helv. 84, No. 4, 807-833 (2009). Reviewer: Daniel G. Davis (Lafayette) MSC: 55P35 55P62 17B70 PDFBibTeX XMLCite \textit{Y. Félix} et al., Comment. Math. Helv. 84, No. 4, 807--833 (2009; Zbl 1234.55005) Full Text: DOI Link
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude Exponential growth and an asymptotic formula for the ranks of homotopy groups of a finite 1-connected complex. (English) Zbl 1197.55006 Ann. Math. (2) 170, No. 1, 443-464 (2009). Reviewer: Jelena Grbic (Manchester) MSC: 55P62 55Q05 PDFBibTeX XMLCite \textit{Y. Félix} et al., Ann. Math. (2) 170, No. 1, 443--464 (2009; Zbl 1197.55006) Full Text: DOI Link
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude The ranks of the homotopy groups of a space of finite LS category. (English) Zbl 1125.55005 Expo. Math. 25, No. 1, 67-76 (2007). Reviewer: Gregory Lupton (Cleveland) MSC: 55P62 55Q05 55Q15 17B70 PDFBibTeX XMLCite \textit{Y. Félix} et al., Expo. Math. 25, No. 1, 67--76 (2007; Zbl 1125.55005) Full Text: DOI
Felix, Yves; Halperin, Steve; Thomas, Jean-Claude Exponential growth of Lie algebras of finite global dimension. (English) Zbl 1111.55008 Proc. Am. Math. Soc. 135, No. 5, 1575-1578 (2007). Reviewer: Rainer Vogt (Osnabrück) MSC: 55P35 17B70 55P62 PDFBibTeX XMLCite \textit{Y. Felix} et al., Proc. Am. Math. Soc. 135, No. 5, 1575--1578 (2007; Zbl 1111.55008) Full Text: DOI arXiv
Felix, Yves; Halperin, Steve; Thomas, Jean-Claude An asymptotic formula for the ranks of homotopy groups. (English) Zbl 1105.55009 Topology Appl. 153, No. 18, 3430-3436 (2006). Reviewer: Rainer Vogt (Osnabrück) MSC: 55Q99 55P62 55P35 17B70 PDFBibTeX XMLCite \textit{Y. Felix} et al., Topology Appl. 153, No. 18, 3430--3436 (2006; Zbl 1105.55009) Full Text: DOI
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude Graded Lie algebras with finite polydepth. (English) Zbl 1066.17019 Ann. Sci. Éc. Norm. Supér. (4) 36, No. 5, 793-804 (2003). Reviewer: Georges Hoff (Villetaneuse) MSC: 17B70 55P62 PDFBibTeX XMLCite \textit{Y. Felix} et al., Ann. Sci. Éc. Norm. Supér. (4) 36, No. 5, 793--804 (2003; Zbl 1066.17019) Full Text: DOI arXiv Numdam Numdam EuDML
Felix, Yves; Halperin, Steve; Thomas, Jean-Claude Ljusternik-Schnirelman category of skeleta. (English) Zbl 1011.55004 Topology Appl. 125, No. 2, 357-361 (2002). Reviewer: Jan Jaworowski (Bloomington) MSC: 55M30 55P62 PDFBibTeX XMLCite \textit{Y. Felix} et al., Topology Appl. 125, No. 2, 357--361 (2002; Zbl 1011.55004) Full Text: DOI
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude Growth and Lie brackets in the homotopy Lie algebra. (English) Zbl 1006.55008 Homology Homotopy Appl. 4, No. 2(1), 219-225 (2002). Reviewer: Daniel Tanré (Villeneuve d’ Ascq) MSC: 55P62 17B70 16L99 PDFBibTeX XMLCite \textit{Y. Félix} et al., Homology Homotopy Appl. 4, No. 2(1), 219--225 (2002; Zbl 1006.55008) Full Text: DOI EuDML EMIS
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude The Serre spectral sequence of a multiplicative fibration. (English) Zbl 0978.55012 Trans. Am. Math. Soc. 353, No. 9, 3803-3831 (2001). Reviewer: Frank Neumann (Leicester) MSC: 55R20 57T25 57T05 55T10 55R10 55R05 PDFBibTeX XMLCite \textit{Y. Félix} et al., Trans. Am. Math. Soc. 353, No. 9, 3803--3831 (2001; Zbl 0978.55012) Full Text: DOI
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude Rational homotopy theory. (English) Zbl 0961.55002 Graduate Texts in Mathematics. 205. New York, NY: Springer. xxxii, 535 p. (2001). Reviewer: Corina Mohorianu (Iaşi) MSC: 55-01 55P62 PDFBibTeX XMLCite \textit{Y. Felix} et al., Rational homotopy theory. New York, NY: Springer (2001; Zbl 0961.55002) Backlinks: MO
Gómez-Tato, Antonio; Halperin, Stephen; Tanré, Daniel Rational homotopy theory for non-simply connected spaces. (English) Zbl 0939.55010 Trans. Am. Math. Soc. 352, No. 4, 1493-1525 (2000). Reviewer: J.F.Oprea (Cleveland) MSC: 55P62 55R25 PDFBibTeX XMLCite \textit{A. Gómez-Tato} et al., Trans. Am. Math. Soc. 352, No. 4, 1493--1525 (2000; Zbl 0939.55010) Full Text: DOI
Dwyer, William G. (ed.); Halperin, Steven (ed.); Kane, Richard (ed.); Kochman, Stanley O. (ed.); Mahowald, Mark E. (ed.); Selick, Paul S. (ed.) Stable and unstable homotopy. Proceedings of workshops held during 1996 at the Fields Institute, Waterloo, Canada. (English) Zbl 0890.00047 Fields Institute Communications. 19. Providence, RI: American Mathematical Society (AMS). vii, 316 p. (1998). MSC: 00B25 55-06 55Pxx PDFBibTeX XMLCite \textit{W. G. Dwyer} (ed.) et al., Stable and unstable homotopy. Proceedings of workshops held during 1996 at the Fields Institute, Waterloo, Canada. Providence, RI: American Mathematical Society (1998; Zbl 0890.00047)
Félix, Yves; Halperin, Steve; Lemaire, Jean-Michel The rational Lusternik-Schnirelmann category of products and of Poincaré duality complexes. (English) Zbl 0897.55001 Topology 37, No. 4, 749-756 (1998). Reviewer: D.Andrica (Cluj-Napoca) MSC: 55M30 57P10 55P62 PDFBibTeX XMLCite \textit{Y. Félix} et al., Topology 37, No. 4, 749--756 (1998; Zbl 0897.55001) Full Text: DOI
Felix, Yves; Halperin, Steve; Thomas, Jean-Claude Differential graded algebras in topology. (English) Zbl 0868.55016 James, I. M. (ed.), Handbook of algebraic topology. Amsterdam: North-Holland. 829-865 (1995). Reviewer: J.F.Oprea (Cleveland) MSC: 55U15 57T30 PDFBibTeX XMLCite \textit{Y. Felix} et al., in: Handbook of algebraic topology. Amsterdam: North-Holland. 829--865 (1995; Zbl 0868.55016)
Halperin, Stephen; Lemaire, Jean-Michel The fibre of a cell attachment. (English) Zbl 0818.55003 Proc. Edinb. Math. Soc., II. Ser. 38, No. 2, 295-311 (1995). Reviewer: S.Halperin (Toronto), J.-M.Lemaire (Paris) MSC: 55P35 55R20 55P62 16W30 18G15 PDFBibTeX XMLCite \textit{S. Halperin} and \textit{J.-M. Lemaire}, Proc. Edinb. Math. Soc., II. Ser. 38, No. 2, 295--311 (1995; Zbl 0818.55003) Full Text: DOI
Félix, Y.; Halperin, S.; Thomas, J. C. Growth of homotopy groups of even degree of a simply connected \(CW\) complex. (Croissance des groupes d’homotopie de degré pair d’un \(CW\) complexe 1-connexe.) (French) Zbl 0841.55009 Rapp., Sémin. Math., Louvain, Nouv. Sér. 221-236, 247-252 (1993). Reviewer: J.F.Oprea (Cleveland) MSC: 55P62 PDFBibTeX XMLCite \textit{Y. Félix} et al., Rapp., Sémin. Math., Louvain, Nouv. Sér. 221--236, 247--252 (1993; Zbl 0841.55009)
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude Adams’ cobar equivalence. (English) Zbl 0765.55005 Trans. Am. Math. Soc. 329, No. 2, 531-549 (1992). Reviewer: H.M.Unsöld (Berlin) MSC: 55R20 55P35 PDFBibTeX XMLCite \textit{Y. Felix} et al., Trans. Am. Math. Soc. 329, No. 2, 531--549 (1992; Zbl 0765.55005) Full Text: DOI
Halperin, Stephen Universal enveloping algebras and loop space homology. (English) Zbl 0769.57025 J. Pure Appl. Algebra 83, No. 3, 237-282 (1992). Reviewer: J.C.Thomas (Villeneuve d’Ascq) MSC: 57T25 57T05 55P35 PDFBibTeX XMLCite \textit{S. Halperin}, J. Pure Appl. Algebra 83, No. 3, 237--282 (1992; Zbl 0769.57025) Full Text: DOI
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude Lie algebras of polynomial growth. (English) Zbl 0755.57019 J. Lond. Math. Soc., II. Ser. 43, No. 3, 556-566 (1991). Reviewer: J.F.Oprea (Cleveland) MSC: 57T05 57T25 PDFBibTeX XMLCite \textit{Y. Félix} et al., J. Lond. Math. Soc., II. Ser. 43, No. 3, 556--566 (1991; Zbl 0755.57019) Full Text: DOI
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude Elliptic Hopf algebras. (English) Zbl 0755.57018 J. Lond. Math. Soc., II. Ser. 43, No. 3, 545-555 (1991). Reviewer: J.F.Oprea (Cleveland) MSC: 57T05 57T25 PDFBibTeX XMLCite \textit{Y. Félix} et al., J. Lond. Math. Soc., II. Ser. 43, No. 3, 545--555 (1991; Zbl 0755.57018) Full Text: DOI
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude Elliptic spaces. (English) Zbl 0726.55006 Bull. Am. Math. Soc., New Ser. 25, No. 1, 69-73 (1991). Reviewer: D.Tanré (Villeneuve d’Ascq) MSC: 55P35 57P10 57T25 PDFBibTeX XMLCite \textit{Y. Félix} et al., Bull. Am. Math. Soc., New Ser. 25, No. 1, 69--73 (1991; Zbl 0726.55006) Full Text: DOI
Grove, Karsten; Halperin, Stephen Elliptic isometries, condition (C) and proper maps. (English) Zbl 0726.53030 Arch. Math. 56, No. 3, 288-299 (1991). Reviewer: Adolf Riede (Heidelberg) MSC: 53C22 37D15 58E05 PDFBibTeX XMLCite \textit{K. Grove} and \textit{S. Halperin}, Arch. Math. 56, No. 3, 288--299 (1991; Zbl 0726.53030) Full Text: DOI
Halperin, Stephen Torsion gaps in the homotopy of finite complexes. II. (English) Zbl 0725.55009 Topology 30, No. 3, 471-478 (1991). Reviewer: J.C.Thomas (Villeneuve d’Ascq) MSC: 55P62 PDFBibTeX XMLCite \textit{S. Halperin}, Topology 30, No. 3, 471--478 (1991; Zbl 0725.55009) Full Text: DOI
Halperin, Stephen; Vigué-Poirrier, Micheline The homology of a free loop space. (English) Zbl 0666.55011 Pac. J. Math. 147, No. 2, 311-324 (1991). Reviewer: S.Halperin MSC: 55R20 55P62 53C22 PDFBibTeX XMLCite \textit{S. Halperin} and \textit{M. Vigué-Poirrier}, Pac. J. Math. 147, No. 2, 311--324 (1991; Zbl 0666.55011) Full Text: DOI
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude Engel elements in the homotopy Lie algebra. (English) Zbl 0737.17011 J. Algebra 144, No. 1, 67-78 (1991). Reviewer: D.Tanré (Villeneuve d’Ascq) MSC: 17B70 17B30 55P62 17B55 PDFBibTeX XMLCite \textit{Y. Félix} et al., J. Algebra 144, No. 1, 67--78 (1991; Zbl 0737.17011) Full Text: DOI
Halperin, Stephen Primitive subspaces of Hopf algebras of finite depth. (English) Zbl 0687.57019 Math. Ann. 287, No. 3, 387-390 (1990). Reviewer: S.Halperin MSC: 57T05 PDFBibTeX XMLCite \textit{S. Halperin}, Math. Ann. 287, No. 3, 387--390 (1990; Zbl 0687.57019) Full Text: DOI EuDML
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude Loop space homology of spaces of LS category one and two. (English) Zbl 0687.55004 Math. Ann. 287, No. 3, 377-386 (1990). Reviewer: S.Halperin MSC: 55P35 57T05 PDFBibTeX XMLCite \textit{Y. Felix} et al., Math. Ann. 287, No. 3, 377--386 (1990; Zbl 0687.55004) Full Text: DOI EuDML
Halperin, Stephen; Tanré, Daniel Homotopie filtrée et fibrés \(C^{\infty}\). (French) Zbl 0679.55011 Ill. J. Math. 34, No. 2, 284-324 (1990). Reviewer: D.Tanré MSC: 55R25 55P15 PDFBibTeX XMLCite \textit{S. Halperin} and \textit{D. Tanré}, Ill. J. Math. 34, No. 2, 284--324 (1990; Zbl 0679.55011)
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude Hopf algebras of polynomial growth. (English) Zbl 0676.16008 J. Algebra 125, No. 2, 408-417 (1989). Reviewer: E.J.Taft MSC: 16W30 57T05 PDFBibTeX XMLCite \textit{Y. Felix} et al., J. Algebra 125, No. 2, 408--417 (1989; Zbl 0676.16008) Full Text: DOI
Félix, Yves; Halperin, Stephen; Lemaire, Jean-Michel; Thomas, Jean-Claude Mod \(p\) loop space homology. (English) Zbl 0667.55007 Invent. Math. 95, No. 2, 247-262 (1989). Reviewer: J.Oprea MSC: 55P35 55S45 55P62 PDFBibTeX XMLCite \textit{Y. Félix} et al., Invent. Math. 95, No. 2, 247--262 (1989; Zbl 0667.55007) Full Text: DOI EuDML
Halperin, Stephen Torsion gaps in the homotopy of finite complexes. (English) Zbl 0661.55009 Topology 27, No. 3, 367-375 (1988). Reviewer: J.C.Thomas MSC: 55P62 PDFBibTeX XMLCite \textit{S. Halperin}, Topology 27, No. 3, 367--375 (1988; Zbl 0661.55009) Full Text: DOI
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude Gorenstein spaces. (English) Zbl 0659.57011 Adv. Math. 71, No. 1, 92-112 (1988). Reviewer: J.Oprea MSC: 57P10 55P62 13H10 PDFBibTeX XMLCite \textit{Y. Félix} et al., Adv. Math. 71, No. 1, 92--112 (1988; Zbl 0659.57011) Full Text: DOI
Halperin, S.; Lemaire, J.-M. Notions of category in differential algebra. (English) Zbl 0656.55003 Algebraic topology, rational homotopy, Proc. Conf., Louvain-la- Neuve/Belg. 1986, Lect. Notes Math. 1318, 138-154 (1988). Reviewer: J.C.Thomas MSC: 55M30 55P62 13H10 16W50 PDFBibTeX XML
Felix, Yves; Halperin, Stephen; Jacobsson, Carl; Löfwall, Clas; Thomas, Jean-Claude The radical of the homotopy Lie algebra. (English) Zbl 0654.55011 Am. J. Math. 110, No. 2, 301-322 (1988). Reviewer: J.Oprea MSC: 55P62 17B70 13H99 PDFBibTeX XMLCite \textit{Y. Felix} et al., Am. J. Math. 110, No. 2, 301--322 (1988; Zbl 0654.55011) Full Text: DOI
Halperin, S.; Lemaire, J.-M. Suites inertes dans les algèbres de Lie graduées. (“Autopsie d’un meurtre. II”). (French) Zbl 0655.55004 Math. Scand. 61, No. 1, 39-67 (1987). Reviewer: J.-N.Mordeson MSC: 55P62 17B70 55P15 17B55 PDFBibTeX XMLCite \textit{S. Halperin} and \textit{J. M. Lemaire}, Math. Scand. 61, No. 1, 39--67 (1987; Zbl 0655.55004) Full Text: DOI EuDML
Grove, Karsten; Halperin, Stephen Dupin hypersurfaces, group actions and the double mapping cylinder. (English) Zbl 0637.53075 J. Differ. Geom. 26, 429-459 (1987). Reviewer: U.Pinkall MSC: 53C42 57S15 PDFBibTeX XMLCite \textit{K. Grove} and \textit{S. Halperin}, J. Differ. Geom. 26, 429--459 (1987; Zbl 0637.53075) Full Text: DOI
Bøgvad, Rikard; Halperin, Stephen On a conjecture of Roos. (English) Zbl 0644.13004 Algebra, algebraic topology and their interactions, Proc. Conf., Stockholm 1983, Lect. Notes Math. 1183, 120-127 (1986). MSC: 13D03 13H99 55P62 PDFBibTeX XML
Felix, Yves; Halperin, Stephen The rational homotopy of spaces with nonzero Euler-Poincaré characteristic. (English) Zbl 0634.55009 Bull. Soc. Math. Belg., Sér. A 38, 171-173 (1986). Reviewer: J.C.Thomas MSC: 55P62 PDFBibTeX XMLCite \textit{Y. Felix} and \textit{S. Halperin}, Bull. Soc. Math. Belg., Sér. A 38, 171--173 (1986; Zbl 0634.55009)
Halperin, Stephen The radical of \(\pi _ *(\Omega S)\otimes \,{\mathbb{Q}}\). II. (English) Zbl 0612.55016 Algebra, algebraic topology and their interactions, Proc. Conf., Stockholm 1983, Lect. Notes Math. 1183, 199-210 (1986). Reviewer: H.Scheerer MSC: 55P62 55Q15 17B70 PDFBibTeX XML
Felix, Yves; Halperin, Stephen; Tanré, Daniel; Thomas, Jean-Claude The radical of \(\pi _ *(\Omega S)\otimes \,{\mathbb{Q}}\). (English) Zbl 0612.55015 Algebra, algebraic topology and their interactions, Proc. Conf., Stockholm 1983, Lect. Notes Math. 1183, 133-135 (1986). MSC: 55P62 55Q15 17B70 PDFBibTeX XML
Halperin, Stephen; Levin, Gerson High skeleta of CW complexes. (English) Zbl 0607.55006 Algebra, algebraic topology and their interactions, Proc. Conf., Stockholm 1983, Lect. Notes Math. 1183, 211-217 (1986). Reviewer: J.Oprea MSC: 55P62 13H99 16W50 PDFBibTeX XML
Avramov, Luchezar; Halperin, Stephen Through the looking glass: A dictionary between rational homotopy theory and local algebra. (English) Zbl 0588.13010 Algebra, algebraic topology and their interactions, Proc. Conf., Stockholm 1983, Lect. Notes Math. 1183, 1-27 (1986). Reviewer: R.Fröberg MSC: 13D03 13H99 13-02 55-02 55P62 PDFBibTeX XML
Anick, David J.; Halperin, Stephen Commutative rings, algebraic topology, graded Lie algebras and the work of Jan-Erik Roos. (English) Zbl 0574.18008 J. Pure Appl. Algebra 38, 103-109 (1985). Reviewer: R.Fröberg MSC: 18G15 13D03 55P35 13-02 18-02 55-02 17B70 PDFBibTeX XMLCite \textit{D. J. Anick} and \textit{S. Halperin}, J. Pure Appl. Algebra 38, 103--109 (1985; Zbl 0574.18008) Full Text: DOI
Halperin, Stephen Rational homotopy and torus actions. (English) Zbl 0562.57015 Aspects of topology, Mem. H. Dowker, Lond. Math. Soc. Lect. Note Ser. 93, 293-306 (1985). Reviewer: S.Papadima MSC: 57S10 55P62 13N05 16W50 PDFBibTeX XML
Allday, Christopher; Halperin, Steve La théorie de Sullivan-de Rham pour la cohomologie rationnelle d’Alexander-Spanier. (French) Zbl 0566.55006 Homotopie algébrique et algèbre locale, Journ. Luminy/France 1982, Astérisque 113/114, 148-152 (1984). Reviewer: J.C.Thomas MSC: 55P62 57S15 55P91 PDFBibTeX XML
Avramov, Luchezar L.; Halperin, Stephen On the structure of the homotopy Lie algebra of a local ring. (English) Zbl 0557.13009 Homotopie algébrique et algèbre locale, Journ. Luminy/France 1982, Astérisque 113/114, 153-155 (1984). MSC: 13D03 13H99 14M10 13E05 PDFBibTeX XML
Allday, Christopher; Halperin, Stephen Sullivan-deRham theory for rational Alexander-Spanier cohomology. (English) Zbl 0556.55011 Houston J. Math. 10, 15-33 (1984). Reviewer: S.Jackowski MSC: 55P62 57S17 55N25 55P91 55N05 PDFBibTeX XMLCite \textit{C. Allday} and \textit{S. Halperin}, Houston J. Math. 10, 15--33 (1984; Zbl 0556.55011)
Halperin, Stephen Spaces whose rational homology and de Rham homotopy are both finite dimensional. (English) Zbl 0546.55015 Homotopie algébrique et algèbre locale, Journ. Luminy/France 1982, Astérisque 113-114 (1984). MSC: 55P62 55M20 PDFBibTeX XML
Halperin, Stephen The structure of \(\pi_*(\Omega S)\). (English) Zbl 0546.55014 Homotopie algébrique et algèbre locale, Journ. Luminy/France 1982, Astérisque 113-114, 109-117 (1984). MSC: 55P62 55M30 17B70 16W50 13N05 PDFBibTeX XML
Halperin, S.; Thomas, J. C. Sur l’homotopie des espaces de catégorie 2. (French) Zbl 0537.55012 Math. Scand. 55, 216-228 (1984). MSC: 55P62 55Q15 17B70 PDFBibTeX XMLCite \textit{S. Halperin} and \textit{J. C. Thomas}, Math. Scand. 55, 216--228 (1984; Zbl 0537.55012) Full Text: DOI EuDML
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude L. S. catégorie et suite spectrale de Milnor-Moore. (Une nuit dans le train). (French) Zbl 0538.55007 Bull. Soc. Math. Fr. 111, 89-96 (1983). Reviewer: S.Papadima MSC: 55P62 55M30 55T99 PDFBibTeX XMLCite \textit{Y. Félix} et al., Bull. Soc. Math. Fr. 111, 89--96 (1983; Zbl 0538.55007) Full Text: DOI Numdam EuDML
Halperin, S. Lectures on minimal models. (English) Zbl 0536.55003 Mém. Soc. Math. Fr., Nouv. Sér. 9-10, 261 p. (1983). Reviewer: J.-C.Thomas MSC: 55P62 13N05 55R05 16W50 12H05 55S45 PDFBibTeX XMLCite \textit{S. Halperin}, Mém. Soc. Math. Fr., Nouv. Sér. 9--10, 261 p. (1983; Zbl 0536.55003) Full Text: DOI Numdam EuDML
Grove, Karsten; Halperin, Stephen Contributions of rational homotopy theory to global problems in geometry. (English) Zbl 0508.55013 Publ. Math., Inst. Hautes Étud. Sci. 56, 171-178 (1982). MSC: 55P62 58E10 53C22 57R19 53C20 PDFBibTeX XMLCite \textit{K. Grove} and \textit{S. Halperin}, Publ. Math., Inst. Hautes Étud. Sci. 56, 171--178 (1982; Zbl 0508.55013) Full Text: DOI Numdam EuDML
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude The homotopy Lie algebra for finite complexes. (English) Zbl 0504.55005 Publ. Math., Inst. Hautes Étud. Sci. 56, 179-202 (1982). MSC: 55P62 55M30 55Q15 17B70 PDFBibTeX XMLCite \textit{Y. Felix} et al., Publ. Math., Inst. Hautes Étud. Sci. 56, 179--202 (1982; Zbl 0504.55005) Full Text: DOI Numdam EuDML
Felix, Yves; Halperin, Stephen Formal spaces with finite-dimensional rational homotopy. (English) Zbl 0489.55009 Trans. Am. Math. Soc. 270, 575-588 (1982). MSC: 55P62 55T20 13N05 16W50 55Q52 PDFBibTeX XMLCite \textit{Y. Felix} and \textit{S. Halperin}, Trans. Am. Math. Soc. 270, 575--588 (1982; Zbl 0489.55009) Full Text: DOI
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude Sur certaines algèbres de Lie de dérivations. (French) Zbl 0487.55005 Ann. Inst. Fourier 32, No. 4, 143-150 (1982). MSC: 55P62 12H05 17B70 16W50 PDFBibTeX XMLCite \textit{Y. Felix} et al., Ann. Inst. Fourier 32, No. 4, 143--150 (1982; Zbl 0487.55005) Full Text: DOI Numdam EuDML
Halperin, Stephen; Thomas, Jean Claude Rational equivalence of fibrations with fibre G/K. (English) Zbl 0439.55007 Can. J. Math. 34, 31-43 (1982). MSC: 55P62 55R15 55P60 PDFBibTeX XMLCite \textit{S. Halperin} and \textit{J. C. Thomas}, Can. J. Math. 34, 31--43 (1982; Zbl 0439.55007) Full Text: DOI
Halperin, Stephen Lectures on minimal models. (English) Zbl 0505.55014 Publ. U.E.R., Math. Pures Appl. 3, No. 4, 259 p. (1981). MSC: 55P62 55R05 16W50 55P10 17B70 PDFBibTeX XML
Halperin, Stephen Modèle de l’espace des lacets libres dans un espace à groupe fondamental non nul. (French) Zbl 0467.55010 C. R. Acad. Sci., Paris, Sér. I 293, 79-81 (1981). MSC: 55P62 55P35 PDFBibTeX XMLCite \textit{S. Halperin}, C. R. Acad. Sci., Paris, Sér. I 293, 79--81 (1981; Zbl 0467.55010)
Friedlander, John; Halperin, Stephen Distinct representatives, varieties and rational homotopy. (English) Zbl 0411.55010 J. Number Theory 11, 321-323 (1979). MSC: 55P62 13C15 14A10 PDFBibTeX XMLCite \textit{J. Friedlander} and \textit{S. Halperin}, J. Number Theory 11, 321--323 (1979; Zbl 0411.55010) Full Text: DOI
Halperin, Stephen; Stasheff, James Obstructions to homotopy equivalences. (English) Zbl 0408.55009 Adv. Math. 32, 233-279 (1979). MSC: 55P62 55P10 55T20 PDFBibTeX XMLCite \textit{S. Halperin} and \textit{J. Stasheff}, Adv. Math. 32, 233--279 (1979; Zbl 0408.55009) Full Text: DOI
Friedlander, John B.; Halperin, Stephen An arithmetic characterization of the rational homotopy groups of certain spaces. (English) Zbl 0396.55010 Invent. Math. 53, 117-133 (1979). MSC: 55P62 11C08 12E10 13F20 55N10 55Q52 PDFBibTeX XMLCite \textit{J. B. Friedlander} and \textit{S. Halperin}, Invent. Math. 53, 117--133 (1979; Zbl 0396.55010) Full Text: DOI EuDML
Grove, Karsten; Halperin, Stephen; Vigue-Poirrier, Micheline The rational homotopy theory of certain path spaces with applications to geodesics. (English) Zbl 0421.58007 Acta Math. 140, 277-303 (1978). MSC: 58E10 55P62 PDFBibTeX XMLCite \textit{K. Grove} et al., Acta Math. 140, 277--303 (1978; Zbl 0421.58007) Full Text: DOI
Allday, Christopher; Halperin, Stephen Lie group actions on spaces of finite rank. (English) Zbl 0395.57024 Q. J. Math., Oxf. II. Ser. 29, 63-76 (1978). MSC: 57S25 57S10 PDFBibTeX XMLCite \textit{C. Allday} and \textit{S. Halperin}, Q. J. Math., Oxf. II. Ser. 29, 63--76 (1978; Zbl 0395.57024) Full Text: DOI
Greub, Werner; Halperin, Stephen; Vanstone, Ray Connections, curvature, and cohomology. Vol. III: Cohomology of principal bundles and homogeneous spaces. (English) Zbl 0372.57001 Pure and Applied Mathematics, 47-III. New York-San Francisco-London: Academic Press, a subsidiary of Harcourt Brace Jovanovich, Publishers. XXI, 593 p. $ 49.50 (1976). MSC: 57-02 12H05 17B56 53C05 55R20 57R20 57T15 57T20 PDFBibTeX XML
Stasheff, James; Halperin, Steve Differential algebra in its own rite. (English) Zbl 0224.55027 Proc. adv. Study Inst. algebraic Topol. 1970, various Publ. Ser. 13, 567-577 (1970). MSC: 55U99 55U40 18G15 18G35 PDFBibTeX XML