Geodesic
ON SERRE MICROFIBRATIONS AND A LEMMA OF M. WEISS
Glasgow mathematical journal, Tome 59 (2017) no. 3, pp. 649-657

Voir la notice de l'article provenant de la source Cambridge University Press

We show that every fibrewise map from a Serre microfibration to a Serre fibration is n-connected if it is fibrewise n-connected. This generalises a result of M. Weiss and related results by Bökstedt–Madsen and Galatius–Randal–Williams. We also discuss an application to configuration spaces.
DOI : 10.1017/S0017089516000458
Mots-clés : 55R65, 55R70, 55R80 
RAPTIS, GEORGE. ON SERRE MICROFIBRATIONS AND A LEMMA OF M. WEISS. Glasgow mathematical journal, Tome 59 (2017) no. 3, pp. 649-657. doi: 10.1017/S0017089516000458
@article{10_1017_S0017089516000458,
     author = {RAPTIS, GEORGE},
     title = {ON {SERRE} {MICROFIBRATIONS} {AND} {A} {LEMMA} {OF} {M.} {WEISS}},
     journal = {Glasgow mathematical journal},
     pages = {649--657},
     year = {2017},
     volume = {59},
     number = {3},
     doi = {10.1017/S0017089516000458},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000458/}
}
TY  - JOUR
AU  - RAPTIS, GEORGE
TI  - ON SERRE MICROFIBRATIONS AND A LEMMA OF M. WEISS
JO  - Glasgow mathematical journal
PY  - 2017
SP  - 649
EP  - 657
VL  - 59
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000458/
DO  - 10.1017/S0017089516000458
ID  - 10_1017_S0017089516000458
ER  - 
%0 Journal Article
%A RAPTIS, GEORGE
%T ON SERRE MICROFIBRATIONS AND A LEMMA OF M. WEISS
%J Glasgow mathematical journal
%D 2017
%P 649-657
%V 59
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000458/
%R 10.1017/S0017089516000458
%F 10_1017_S0017089516000458

[1] 1. Bökstedt, M. and Madsen, Ib, The cobordism category and Waldhausen's K-theory, in An alpine expedition through algebraic topology, Contemporary Mathematics 617, (Amer. Math. Soc., Providence, RI, 2014), 39–80. Google Scholar

[2] 2. Christenson, C. O. and Osborne, R. P., Pointlike subsets of a manifold, Pacific J. Math. 24 (1968), 431–435. Google Scholar

[3] 3. Galatius, S. and Randal-Williams, O., Homological stability for moduli spaces of high dimensional manifolds. I, arXiv:1403.2334. Google Scholar

[4] 4. Lacher, R. C., Cell-like mappings. I, Pacific J. Math. 30 (1969), 717–731. Google Scholar

[5] 5. Lacher, R. C., Cell-like spaces, Proc. Amer. Math. Soc. 20 (1969), 598–602. Google Scholar

[6] 6. Mcmillan, D. R. Jr., A criterion for cellularity in a manifold, Ann. of Math. 79 (2) (1964), 327–337. Google Scholar

[7] 7. Mitchell, W. J. R. and Repovš, D., The topology of cell-like mappings, in Conference on Differential Geometry and Topology (Sardinia, 1988), Rend. Sem. Fac. Sci. Univ. Cagliari 58 (1988), 265–300. Google Scholar

[8] 8. Raptis, G., Some remarks on configuration spaces, Proc. Amer. Math. Soc. 139 (5) (2011), 1879–1887. Google Scholar

[9] 9. Repovš, D., A criterion for cellularity in a topological 4-manifold, Proc. Amer. Math. Soc. 100 (3) (1987), 564–566. Google Scholar

[10] 10. Weiss, M., What does the classifying space of a category classify?, Homology Homotopy Appl. 7 (1) (2005), 185–195. Google Scholar

Cité par Sources :