Unstable algebras over an operad. II. (English) Zbl 07860677
Reviewer: Geoffrey Powell (Angers)
Found 84 Documents (Results 1–84)
On Bousfield’s conjectures for the unstable Adams spectral sequence for \(SO\) and \(U\). (English) Zbl 07811839
On the mod-2 cohomology of some 2-Postnikov towers. (English) Zbl 1530.55015
Hvedri, Inassaridze (ed.), Tbilisi – mathematics. Special issue. Dedicated to the memory of Roin Nadiradze. Berlin: De Gruyter/Sciendo. Tbilisi Math. J. Collect. Spec. Issues 2, 107-124 (2021).
Convergence of Heisenberg modules over quantum 2-tori for the modular Gromov-Hausdorff propinquity. (English) Zbl 1513.46132
Singularities of mappings. The local behaviour of smooth and complex analytic mappings. (English) Zbl 1448.58032
Grundlehren der Mathematischen Wissenschaften 357. Cham: Springer (ISBN 978-3-030-34439-9/hbk; 978-3-030-34440-5/ebook). xv, 567 p. (2020).
Reviewer: Aleksandr G. Aleksandrov (Moskva)
On the Frobenius twist in the category of unstable modules. (Sur la torsion de Frobenius de la catégorie des modules instables.) (French. English summary) Zbl 1421.55014
Reviewer: Geoffrey Powell (Angers)
Algebraic EHP sequences revisited. (English) Zbl 1418.55011
Reviewer: Geoffrey Powell (Angers)
Deligne-Lusztig characters of the finite general linear groups and eigenvectors of Lannes’ T-functor. (English) Zbl 1453.20064
Lannes’ T functor on injective unstable modules and Harish-Chandra restriction. (English) Zbl 1409.55018
Reviewer: Geoffrey Powell (Angers)
Essential extensions, the nilpotent filtration and the Arone-Goodwillie tower. (English) Zbl 1353.55011
Reviewer: Saïd Zarati (Tunis)
On non-realization results and conjectures of N. Kuhn. (English) Zbl 1360.55015
Reviewer: Saïd Zarati (Tunis)
Homogeneous strict polynomial functors as unstable modules. (English) Zbl 1335.55018
Reviewer: Saïd Zarati (Tunis)
A proof of Schwartz’s conjecture about the eigenvalues of Lannes’ \(T\)-functor. (English) Zbl 1328.55021
Reviewer: Saïd Zarati (Tunis)
MSC:
55S10
On a conjecture of Lionel Schwartz about the eigenvalues of Lannes’ T-functor. (À propos d’une conjecture de Lionel Schwartz sur les valeurs propres du foncteur T de Lannes.) (English. French summary) Zbl 1318.55015
Reviewer: Saïd Zarati (Tunis)
MSC:
55S10
Maps from \(K(\mathbb Z/p,2)\) and a conjecture of N. Kuhn. (Applications depuis \(K(\mathbb Z/p,2)\) et une conjecture de N. Kuhn.) (French. English summary) Zbl 1333.55012
Reviewer: Martin D. Crossley (Swansea)
Selecting lengths of floats for the computation of approximate Gröbner bases. (English) Zbl 1267.13047
Reviewer: Alyson Reeves (Bowie)
The Arone-Goodwillie spectral sequence for \(\Sigma^{\infty }\Omega^{n}\) and topological realization at odd primes. (English) Zbl 1262.55008
Reviewer: Rainer Vogt (Osnabrück)
Realising unstable modules as the cohomology of spaces and mapping spaces. (English) Zbl 1259.55006
Reviewer: Martin D. Crossley (Swansea)
The homomorphisms between the Dickson-Mùi algebras as modules over the Steenrod algebra. (English) Zbl 1248.55007
Reviewer: Saïd Zarati (Tunis)
An extension problem in equivariant cohomology. (English) Zbl 1166.55006
Reviewer: Saïd Zarati (Tunis)
On the Grothendieck ring of the category of unstable modules. (Sur l’anneau de Grothendieck de la catégorie des modules instables.) (French) Zbl 1098.55016
Reviewer: Martin D. Crossley (Swansea)
The existence of Thom classes. (English) Zbl 1098.55014
Reviewer: Martin D. Crossley (Swansea)
Global structure of the mod two symmetric algebra, \(H^\ast(BO;\mathbb F_2)\) over the Steenrod Algebra. (English) Zbl 1057.55004
Reviewer: Michael Joachim (Münster)
Unstable modules over the Steenrod algebra. (English) Zbl 0996.55015
Reviewer: Martin D.Crossley (Swansea)
Self-tilting complexes yield unstable modules. (English) Zbl 1015.16006
Reviewer: Andrei Marcus (Cluj-Napoca)
The Lasker-Noether theorem in the category \({\mathcal U}(H^*)\). (English) Zbl 0981.55009
Reviewer: Martin D.Crossley (Swansea)
Polynomial invariant rings isomorphic as modules over the Steenrod algebra. (English) Zbl 1015.13003
Reviewer: Joel Segal (Göttingen)
Unstable modules over the Steenrod algebra, functors, and the cohomology of spaces. (English) Zbl 1026.18008
Krause, Henning (ed.) et al., Infinite length modules. Proceedings of the conference, Bielefeld, Germany, September 7-11, 1998. Basel: Birkhäuser. Trends in Mathematics. 229-249 (2000).
Localizations over the Steenrod algebra. The lost chapter. (English) Zbl 0961.55019
Reviewer: Martin D.Crossley (Swansea)
Characterizations of spectra with \(\mathcal{U}\)-injective cohomology which satisfy the Brown-Gitler property. (English) Zbl 0929.55011
Reviewer: D.Davis (Bethlehem)
Injective objects in categories of unstable \(K\)-modules. Revised version of the authors thesis. (English) Zbl 0913.55006
Bonner Mathematische Schriften. 316. Bonn: Universität Bonn, iv, 130 p. (1999).
MSC:
55S10
Injective objects in categories of unstable \(K\)-modules. (English) Zbl 0906.55012
Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät, iv, 125 p. (1998).
Reviewer: Martin D.Crossley (Villetaneuse)
MSC:
55S10
Kähler differentials, the \(T\)-functor, and a theorem of Steinberg. (English) Zbl 0901.55009
Reviewer: Martin D.Crossley (Villetaneuse)
Subobjects of \(\overline I\otimes\Lambda^ n\) in the category of functors between \(\mathbb{F}_ 2\)-vector spaces. (Sous-objets de \(\overline I\otimes\Lambda^ n\) dans la catégorie des foncteurs entre \(\mathbb{F}_ 2\)-espaces vectoriels.) (French) Zbl 0880.18008
Reviewer: S.König (Bielefeld)
Tor and Ext-dimensions of instable \(H^*V\)-\(A\)-modules which are of finite type as \(H^*V\)-modules. (\(\text{Tor}\) et \(\text{Ext}\)-dimensions des \(H^*V\)-\(A\)-modules instables qui sont de type fini comme \(H^*V\)-modules.) (French) Zbl 0862.55003
Broto, Carles (ed.) et al., Algebraic topology: new trends in localization and periodicity. Barcelona conference on algebraic topology (BCAT), Sant Feliu de Guíxols, Spain, June 1-7, 1994. Basel: Birkhäuser. Prog. Math. 136, 241-253 (1996).
Reviewer: D.C.Johnson (Lexington)
Unstable operations in generalized cohomology. (English) Zbl 0876.55016
James, I. M. (ed.), Handbook of algebraic topology. Amsterdam: North-Holland. 687-828 (1995).
Reviewer: P.Landweber (New Brunswick)
MSC:
55S99
Algebraic Smith theory and classification of \(H^*V\)-\({\mathcal U}\)-injectives. (Théorie de Smith algébrique et classification des \(H^*V\)-\(\mathcal{U}\)-injectifs.) (French) Zbl 0862.55002
Reviewer: D.C.Johnson (Lexington)
Localizations of unstable \(A\)-modules and equivariant mod \(p\) cohomology. (English) Zbl 0869.55016
Reviewer: D.Davis (Bethlehem)
Some remarks on the category of unstable modules modulo its nilpotents. (English) Zbl 0887.55015
Császár, Á. (ed.), Topology with applications. Proceedings of the 7th colloquium, Szekszárd, Hungary, August 23–27, 1993. Budapest: János Bolyai Mathematical Society. Bolyai Soc. Math. Stud. 4, 281-301 (1995).
Reviewer: S.Zarati (Tunis)
MSC:
55S10
Unstable modules over Steenrod algebra and Sullivan’s fixed point set conjecture. (English) Zbl 0871.55001
Chicago Lectures in Mathematics. Chicago, IL: Univ. of Chicago Press. x, 229 p., $ 40.00/hbk (1994).
Reviewer: D.Davis (Bethlehem)
Injective resolutions of unstable modules. (English) Zbl 0841.55014
MSC:
55S10
Morita equivalence, \(GL_ n(\mathbb{F}_ q)\)-modules, and the Steenrod algebra. (English) Zbl 0799.55010
Carlsson, G. E. (ed.) et al., Algebraic topology and its applications. New York: Springer-Verlag. Math. Sci. Res. Inst. Publ. 27, 125-131 (1994).
Reviewer: S.Papadima (Bucureşti)
The categories of unstable modules and unstable algebras over the Steenrod algebra modulo nilpotent objects. (English) Zbl 0805.55011
Reviewer: J.Hodgson (Philadelphia)
On the unstable Adams spectral sequence for \(SO\) and \(U\), and splittings of unstable Ext groups. (English) Zbl 0842.55013
Reviewer: I.Pop (Iaşi)
Lannes’ \(T\) functor on summands of \(H^*(B(\mathbb{Z}/p)^ s)\). (English) Zbl 0759.55014
MSC:
55S10
Generic representation theory and Lannes’ T-functor. (English) Zbl 0752.55013
Adams memorial symposium on algebraic topology, vol. 2, Proc. Symp., Manchester/UK 1990, Lond. Math. Soc. Lect. Note Ser. 176, 235-262 (1992).
Reviewer: G.Hoff (Villetaneuse)
Lannes’ division functors on summands of \(H^*(B(Z/p)^ r)\). (English) Zbl 0774.55010
Algebraic topology, Proc. Conf., S. Feliu de Guíxols/Spain 1990, Lect. Notes Math. 1509, 120-133 (1992).
Reviewer: D.C.Johnson (Lexington)
MSC:
55S10
Lannes’ \(T\) functor on Hopf algebras over the Steenrod algebra with applications to Carlsson modules and twisted algebras. (English) Zbl 0734.55012
Reviewer: R.J.Shank
MSC:
55S10
Thom modules and mod \(p\) spherical fibrations. (English) Zbl 0746.55002
Reviewer: D.W.Kahn (Minneapolis)
Séries de compositions de modules instables et injectivité de la cohomologie du groupe \({\mathbb{Z}}/2\). (Composition series of unstable modules and injectivity of the group cohomology of \({\mathbb{Z}}/2)\). (French) Zbl 0725.55012
Reviewer: D.J.Benson (Oxford)
Generalized cohomology operations and the finiteness of multiplicative \(\psi{}_ k\)-modules. (English) Zbl 0739.55006
MSC:
55S10
Reduced unstable A-modules and the modular representation theory of the symmetric groups. (English) Zbl 0724.55012
Reviewer: S.Papadima (Bucureşti)
Polynomial algebras over the Steenrod algebra. (English) Zbl 0716.55016
Reviewer: D.Davis
MSC:
55S10
\(v_ 1\)-periodicity in the unstable Adams spectral sequence. (English) Zbl 0675.55012
Reviewer: D.M.Davis and M.Mahowald
Derived functors of the destabilization and the Adams spectral sequence. (English) Zbl 0756.55013
Théorie de l’homotopie, Colloq. CNRS-NSF-SMF, Luminy/Fr. 1988, Astérisque 191, 285-298 (1990).
Reviewer: J.McCleary (Poughkeepsie)
Cohomologie des groupes symétriques et application de Quillen. (Cohomology of symmetric groups and the Quillen-map). (French) Zbl 0693.55012
Advances in homotopy theory, Proc. Conf. in Honour of I. M. James, Cortona/Italy 1988, Lond. Math. Soc. Lect. Note Ser. 139, 61-68 (1989).
Reviewer: E.Ossa
Computing Lannes T functor. (English) Zbl 0686.55013
Reviewer: J.Mc Cleary
MSC:
55S37
Classifying spaces with injective mod p cohomology. (English) Zbl 0685.55012
Reviewer: Y.Nomura
Analytic functors, unstable algebras and cohomology of classifying spaces. (English) Zbl 0683.55013
Algebraic topology, Proc. Int. Conf., Evanston/IL 1988, Contemp. Math. 96, 197-220 (1989).
Reviewer: D.M.Davis
A characterization of \(F\)-regularity in terms of \(F\)-purity. (English) Zbl 0738.13004
Commutative algebra, Proc. Microprogram, Berkeley/CA (USA) 1989, Publ., Math. Sci. Res. Inst. 15, 227-245 (1989).
Reviewer: T.Albu (Bucureşti)
La filtration nilpotente de la catégorie \({\mathcal U}\) et la cohomologie des espaces de laçets. (The nilpotent filtration of the category \({\mathcal U}\) and the cohomology of loop spaces). (French) Zbl 0665.55003
Algebraic topology, rational homotopy, Proc. Conf., Louvain-la- Neuve/Belg. 1986, Lect. Notes Math. 1318, 208-218 (1988).
Reviewer: M.Mimura
Realizing certain polynomial algebras as cohomology rings of spaces of finite type fibered over \(\times BU(d)\). (English) Zbl 0656.55014
Reviewer: J.Hubbuck
On the structure of the \({\mathcal U}\)-injectives. (English) Zbl 0653.55010
Algebraic topology, Proc. Symp., Barcelona/Spain 1986, Lect. Notes Math. 1298, 207-214 (1987).
Reviewer: D.C.Johnson
Sur les A-algèbres instables. (On unstable A-algebras). (French) Zbl 0642.55014
Algebraic topology, Proc. Symp., Barcelona/Spain 1986, Lect. Notes Math. 1298, 148-161 (1987).
Reviewer: Y.Furukawa
Realizing unstable injectives. (English) Zbl 0636.55008
Reviewer: E.Ossa
Sur les foncteurs dérivés de la déstabilisation. (English) Zbl 0627.55014
Reviewer: Y.Furukawa
Correction to ”A family of unstable Steenrod-modules which includes those of G. Carlsson”. (English) Zbl 0615.55013
Unstable projectives and stable Ext: With applications. (English) Zbl 0638.55018
Reviewer: D.C.Johnson
Sullivan’s conjecture [after H. Miller]. (La conjecture de Sullivan [d’après H. Miller].) (French) Zbl 0634.55013
Sémin. Bourbaki, 37e année, Vol. 1984/85, Exp. No. 638, Astérisque 133/134, 101-112 (1986).
Unstable BP-homology and desuspensions. (English) Zbl 0584.55005
Reviewer: P.Landweber
Some properties of the functor \(\operatorname{Hom}_{U_ p}(\,,H^*V))\). (Quelques propriétés du foncteur \(\operatorname{Hom}_{U_ p}(\,,H^*V)\).) (French) Zbl 0583.55011
Algebraic topology, Proc. Conf., Göttingen/Ger. 1984, Lect. Notes Math. 1172, 204-209 (1985).
Reviewer: S.O.Kochman
A family of unstable Steenrod-modules which includes those of G. Carlsson. (English) Zbl 0564.55016
Reviewer: D.Kahn
Travaux publies par les membres du groupe ”théories stables”. (French) Zbl 0512.03014
Groupe Etude Theor. Stables 3, 1980-1982, Expose No. 11, 7 p. (1983).
MSC:
03C45
Iterated loop functors and the homology of the Steenrod algebra. II. A chain complex for Omega(s,k)M. (English) Zbl 0412.55011
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