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Realization of graded monomial ideal rings modulo torsion

Tseleung So and Donald Stanley

Algebraic & Geometric Topology 23 (2023) 733–764
Bibliography
1 J Aguadé, Realizability of cohomology algebras: A survey, Publ. Sec. Mat. Univ. Autònoma Barcelona 26 (1982) 25 MR768361
2 K K S Andersen, J Grodal, The Steenrod problem of realizing polynomial cohomology rings, J. Topol. 1 (2008) 747 MR2461854
3 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
4 A Bahri, M Bendersky, F R Cohen, S Gitler, The geometric realization of monomial ideal rings and a theorem of Trevisan, Homology Homotopy Appl. 15 (2013) 1 MR3117384
5 V M Buchstaber, T E Panov, Toric topology, 204, Amer. Math. Soc. (2015) MR3363157
6 S E Dickson, A torsion theory for abelian categories, Trans. Amer. Math. Soc. 121 (1966) 223 MR191935
7 Y Félix, S Halperin, J C Thomas, Adams’ cobar equivalence, Trans. Amer. Math. Soc. 329 (1992) 531 MR1036001
8 R Fröberg, A study of graded extremal rings and of monomial rings, Math. Scand. 51 (1982) 22 MR681256
9 L Fuchs, Infinite abelian groups, I, 36, Academic (1970) MR0255673
10 W S Massey, A basic course in algebraic topology, 127, Springer (1991) MR1095046
11 J McCleary, A user’s guide to spectral sequences, 58, Cambridge Univ. Press (2001) MR1793722
12 D Notbohm, Spaces with polynomial mod-p cohomology, Math. Proc. Cambridge Philos. Soc. 126 (1999) 277 MR1670237
13 D Quillen, Rational homotopy theory, Ann. of Math. 90 (1969) 205 MR258031
14 N E Steenrod, The cohomology algebra of a space, Enseign. Math. 7 (1961) 153 MR160208
15 A J Trevisan, Generalized Davis–Januszkiewicz spaces, multicomplexes and monomial rings, Homology Homotopy Appl. 13 (2011) 205 MR2803872