Algebraic & Geometric Topology Volume 5, issue 3 (2005)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

Nullification functors and the homotopy type of the classifying space for proper bundles

Ramon J Flores

Algebraic & Geometric Topology 5 (2005) 1141–1172

DOI: 10.2140/agt.2005.5.1141

Bibliography

1	S I Adyan, Problema Bernsaida i tozhdestva v gruppakh, Izdat. “Nauka”, Moscow (1975) 335 MR0432770
2	G Z Arone, W G Dwyer, Partition complexes, Tits buildings and symmetric products, Proc. London Math. Soc. $(3)$ 82 (2001) 229 MR1794263
3	P Baum, A Connes, N Higson, Classifying space for proper actions and $K$–theory of group $C^$–algebras, from: "$C^$–algebras: 1943–1993 (San Antonio, TX, 1993)", Contemp. Math. 167, Amer. Math. Soc. (1994) 240 MR1292018
4	A K Bousfield, Localization and periodicity in unstable homotopy theory, J. Amer. Math. Soc. 7 (1994) 831 MR1257059
5	A K Bousfield, Homotopical localizations of spaces, Amer. J. Math. 119 (1997) 1321 MR1481817
6	A K Bousfield, D M Kan, Homotopy limits, completions and localizations, Lecture Notes in Mathematics 304, Springer (1972) MR0365573
7	K S Brown, Cohomology of groups, Graduate Texts in Mathematics 87, Springer (1982) MR672956
8	W Chachólski, On the functors $CW_A$ and $P_A$, Duke Math. J. 84 (1996) 599 MR1408539
9	J H Conway, The orbifold notation for surface groups, from: "Groups, combinatorics & geometry (Durham, 1990)", London Math. Soc. Lecture Note Ser. 165, Cambridge Univ. Press (1992) 438 MR1200280
10	H S M Coxeter, W O J Moser, Generators and relations for discrete groups, Second edition. Ergebnisse der Mathematik und ihrer Grenzgebiete, Neue Folge, Band 14, Springer (1965) MR0174618
11	W Dicks, P H Kropholler, I J Leary, S Thomas, Classifying spaces for proper actions of locally finite groups, J. Group Theory 5 (2002) 453 MR1931370
12	T tom Dieck, Transformation groups, de Gruyter Studies in Mathematics 8, Walter de Gruyter & Co. (1987) MR889050
13	E D Farjoun, Cellular spaces, null spaces and homotopy localization, Lecture Notes in Mathematics 1622, Springer (1996) MR1392221
14	M P F du Sautoy, J J McDermott, G C Smith, Zeta functions of crystallographic groups and analytic continuation, Proc. London Math. Soc. $(3)$ 79 (1999) 511 MR1710163
15	W G Dwyer, Homology decompositions for classifying spaces of finite groups, Topology 36 (1997) 783 MR1432421
16	W G Dwyer, H W Henn, Homotopy theoretic methods in group cohomology, Advanced Courses in Mathematics. CRM Barcelona, Birkhäuser Verlag (2001) MR1926776
17	R J Flores, Nullification and cellularization of classifying spaces of finite groups, Trans. Amer. Math. Soc. 359 (2007) 1791 MR2272149
18	P Gabriel, M Zisman, Calculus of fractions and homotopy theory, Ergebnisse der Mathematik und ihrer Grenzgebiete 35, Springer New York, New York (1967) MR0210125
19	P G Goerss, J F Jardine, Simplicial homotopy theory, Progress in Mathematics 174, Birkhäuser Verlag (1999) MR1711612
20	J Hollender, R M Vogt, Modules of topological spaces, applications to homotopy limits and $E_\infty$ structures, Arch. Math. $($Basel$)$ 59 (1992) 115 MR1170635
21	J F Jardine, Simplicial approximation, Theory Appl. Categ. 12 (2004) 34 MR2056093
22	A G Kurosh, The theory of groups, Chelsea Publishing Co. (1960) MR0109842
23	J Lannes, L Schwartz, Sur la structure des $A$–modules instables injectifs, Topology 28 (1989) 153 MR1003580
24	I J Leary, B E A Nucinkis, Every CW-complex is a classifying space for proper bundles, Topology 40 (2001) 539 MR1838994
25	X Lee, The 17 wallpaper groups
26	S Levy, Geometry formulas and facts
27	W Lück, The type of the classifying space for a family of subgroups, J. Pure Appl. Algebra 149 (2000) 177 MR1757730
28	W Lück, Survey on classifying spaces for families of subgroups, Preprintreihe SFB 478 - Geometrische Strukturen in der Mathematik, Heft 308, Münster (2004)
29	W Lück, R Stamm, Computations of $K$– and $L$–theory of cocompact planar groups, $K$–Theory 21 (2000) 249 MR1803230
30	S MacLane, Categories for the working mathematician, Graduate Texts in Mathematics 5, Springer (1971) MR0354798
31	H Miller, The Sullivan conjecture on maps from classifying spaces, Ann. of Math. $(2)$ 120 (1984) 39 MR750716
32	G Mislin, On the classifying space for proper actions, from: "Cohomological methods in homotopy theory (Bellaterra, 1998)", Progr. Math. 196, Birkhäuser (2001) 263 MR1851258
33	G Mislin, A Valette, Proper group actions and the Baum–Connes conjecture, Advanced Courses in Mathematics. CRM Barcelona, Birkhäuser Verlag (2003) MR2027168
34	A Y Ol’shanskiĭ, Geometriya opredelyayushchikh sootnoshenii v gruppakh, \cyrSovremennaya Algebra., “Nauka” (1989) 448 MR1024791
35	D J S Robinson, Finiteness conditions and generalized soluble groups I, Ergebnisse der Mathematik und ihrer Grenzgebiete 62, Springer (1972) MR0332989
36	D Schattschneider, The plane symmetry groups: their recognition and notation, Amer. Math. Monthly 85 (1978) 439 MR0477980
37	J P Serre, Cohomologie des groupes discrets, from: "Prospects in mathematics (Proc. Sympos., Princeton Univ., Princeton, N.J., 1970)", Princeton Univ. Press (1971) MR0385006
38	R M Switzer, Algebraic topology—homotopy and homology, Die Grundlehren der mathematischen Wissenschaften 212, Springer (1975) MR0385836
39	R W Thomason, Homotopy colimits in the category of small categories, Math. Proc. Cambridge Philos. Soc. 85 (1979) 91 MR510404