Algebraic & Geometric Topology Volume 24, issue 3 (2024)

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ISSN (electronic): 1472-2739

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Steenrod problem and some graded Stanley–Reisner rings

Masahiro Takeda

Algebraic & Geometric Topology 24 (2024) 1725–1738

DOI: 10.2140/agt.2024.24.1725

Bibliography

1	J F Adams, C W Wilkerson, Finite H–spaces and algebras over the Steenrod algebra, Ann. of Math. 111 (1980) 95 MR0558398
2	J Aguadé, A note on realizing polynomial algebras, Israel J. Math. 38 (1981) 95 MR0599479
3	K K S Andersen, J Grodal, The Steenrod problem of realizing polynomial cohomology rings, J. Topol. 1 (2008) 747 MR2461854
4	K K S Andersen, J Grodal, The classification of 2–compact groups, J. Amer. Math. Soc. 22 (2009) 387 MR2476779
5	A Bahri, M Bendersky, F R Cohen, S Gitler, The polyhedral product functor: a method of decomposition for moment-angle complexes, arrangements and related spaces, Adv. Math. 225 (2010) 1634 MR2673742
6	A Clark, J Ewing, The realization of polynomial algebras as cohomology rings, Pacific J. Math. 50 (1974) 425 MR0367979
7	M W Davis, T Januszkiewicz, Convex polytopes, Coxeter orbifolds and torus actions, Duke Math. J. 62 (1991) 417 MR1104531
8	W G Dwyer, H R Miller, C W Wilkerson, Homotopical uniqueness of classifying spaces, Topology 31 (1992) 29 MR1153237
9	W G Dwyer, C W Wilkerson, A cohomology decomposition theorem, Topology 31 (1992) 433 MR1167181
10	W G Dwyer, C W Wilkerson, Homotopy fixed-point methods for Lie groups and finite loop spaces, Ann. of Math. 139 (1994) 395 MR1274096
11	J R Hubbuck, Generalized cohomology operations and H–spaces of low rank, Trans. Amer. Math. Soc. 141 (1969) 335 MR0248809
12	M Mimura, H Toda, Topology of Lie groups, I, 91, Amer. Math. Soc. (1991) MR1122592
13	T So, D Stanley, Realization of graded monomial ideal rings modulo torsion, Algebr. Geom. Topol. 23 (2023) 733 MR4587315
14	N E Steenrod, The cohomology algebra of a space, Enseign. Math. 7 (1961) 153 MR0160208
15	T Sugawara, H Toda, Squaring operations on truncated polynomial algebras, Jpn. J. Math. 38 (1969) 39 MR0259901
16	E Thomas, Steenrod squares and H–spaces, II, Ann. of Math. 81 (1965) 473 MR0177408
17	A J Trevisan, Generalized Davis–Januszkiewicz spaces, multicomplexes and monomial rings, Homology Homotopy Appl. 13 (2011) 205 MR2803872