×
Brasselet, Jean-Paul

Homologie des fibres à singularités. (French) Zbl 0427.55016

Bull. Soc. Math. Fr., Suppl., Mém. 61, 78 p. (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0427.55016

Cited in 1 Document

MSC:

55T10 Serre spectral sequences
55R20 Spectral sequences and homology of fiber spaces in algebraic topology
55R55 Fiberings with singularities in algebraic topology
55T99 Spectral sequences in algebraic topology
57N80 Stratifications in topological manifolds

Keywords:

c-stratified pair of spaces; spectral sequence of a c-stratified map; tubular neighborhood; Serre spectral sequence; Fary spectral sequence; fibrations with singularities

Citations:

Zbl 0073.398
PDF BibTeX XML Cite
\textit{J.-P. Brasselet}, Bull. Soc. Math. Fr., Suppl., Mém. 61, 78 p. (1979; Zbl 0427.55016)
Full Text: Numdam EuDML

References:

[1] ARMSTRONG M.A. - Extending triangulations , Proc. Amer. Math. Soc., 18 ( 1967 ), 701-704. MR 36 #4565 | Zbl 0149.41301 · Zbl 0149.41301
[2] ANTOINE P. - Notes sur les isomorphismes de Thom , d’après un cours de H. Cartan Multigraphié, Lille 1964 - 1965 .
[3] ANTONELLI P.L. - Structure theory for Montgomery-Samelson fiberings between manifolds I , Canadian J. Math., 21 ( 1969 ), 170-179. MR 38 #6596 | Zbl 0169.54804 · Zbl 0169.54804
[4] BARRATT-GUGENHEIM-MOORE - On semisimplicial fibre-bundles , Am. J. Math., 81, ( 1959 ), 639-657. MR 22 #1895 | Zbl 0127.39002 · Zbl 0127.39002
[5] BOREL A. - Seminar on transformation groups , Annals of Mathematic Studies, 46, Princeton University Press, 1960 . MR 22 #7129 | Zbl 0091.37202 · Zbl 0091.37202
[6] BRASSELET J.P. - Suite spectrale des applications C^\circ -stratifiées , (multigraphié) - Thèse - Lille 1977 .
[7] BREDON G.E. - Sheaf Theory , Mac Graw Hill Series in Higher Mathematics, 1967 . MR 36 #4552 | Zbl 0158.20505 · Zbl 0158.20505
[8] BREDON G.E. - Introduction to compact transformation groups , Academic Press, 1972 . MR 54 #1265 | Zbl 0246.57017 · Zbl 0246.57017
[9] BROWN M. - Locally flat imbeddings of topological manifolds , Ann. of Math., 75 ( 1962 ), 331-341. MR 24 #A3637 | Zbl 0201.56202 · Zbl 0201.56202
[10] CARTAN H. - Topologie Algébrique , Séminaire E.N.S., 1948 - 1949 . Numdam
[11] CARTAN H. - Algèbres d’Eilenberg-Mac Lane et homotopie , Séminaire E.N.S., 1954 - 1955 . Numdam
[12] CARTAN H. - Quelques questions de topologie , Séminaire E.N.S., 1956 - 1957 . Numdam
[13] CARTAN H. et EILENBERG S. - Homological Algebra , Princeton Mathematical Series, 1956 . MR 17,1040e | Zbl 0075.24305 · Zbl 0075.24305
[14] CONNER P.E. et DYER E. - On singular fiberings by spheres , Mich. Math. J. 6, ( 1959 ), 303-311. Article | MR 22 #7123 | Zbl 0090.39203 · Zbl 0090.39203
[15] EILENBERG S. - Singular Homology Theory , Ann. of Math. 45, ( 1944 ), 407-447. MR 6,96f | Zbl 0061.40603 · Zbl 0061.40603
[16] EILENBERG S. et MAC LANE S. - On the groups H(\pi ,n) . Ann. of Math. 58, ( 1953 ), 55-106. MR 15,54b | Zbl 0050.39304 · Zbl 0050.39304
[17] EILENBERG S. et STEENROD N. - Foundations of Algebraic Topology , Princeton Mathematical Series, 1952 . MR 14,398b | Zbl 0047.41402 · Zbl 0047.41402
[18] FÁRY I. - Valeurs critiques et Algèbres spectrales d’une application , Ann. of Math. 63, ( 1956 ), 437-490. MR 17,1118d | Zbl 0073.39804 · Zbl 0073.39804
[19] GUGENHEIM V.K.A.M. - On a theorem of E.H. Brown , I11. J. Math. 4, ( 1960 ), 292-311. MR 22 #2990 | Zbl 0117.40203 · Zbl 0117.40203
[20] HU S.T. - On fiberings with singularities , Mich. Math. J. 6, ( 1959 ), 131-149. Article | MR 21 #3856 | Zbl 0085.37801 · Zbl 0085.37801
[21] HUDSON J.F.P. - Piecewise linear Topology , Benjamin, 1969 . MR 40 #2094 | Zbl 0189.54507 · Zbl 0189.54507
[22] MONTGOMERY D. et SAMELSON H. - Fiberings with singularities , Duke Math. J. 13, ( 1946 ), 51-56. Article | MR 7,471a | Zbl 0060.41501 · Zbl 0060.41501
[23] SERRE J.P. - Homologie singulière des espaces fibrés , Ann. of Math. 54, ( 1951 ), 425-505. MR 13,574g | Zbl 0045.26003 · Zbl 0045.26003
[24] SHIH W. - Homologie des espaces fibrés , Publications Mathématiques, IHES, n^\circ 13. Numdam | Zbl 0105.16903 · Zbl 0105.16903
[25] STEENROD N. - The topology of fibre bundles , Princeton University Press ( 1951 ). MR 12,522b | Zbl 0054.07103 · Zbl 0054.07103
[26] THOM R. - Ensembles et morphismes stratifiés , Bull. Amer. Math. Soc., 75 ( 1969 ), 240-284. Article | MR 39 #970 | Zbl 0197.20502 · Zbl 0197.20502
[27] TIMOURIAN J.G. - Fiber bundles with discrete singular set , J. Math. Mech., 18, ( 1968 ), 61-70. MR 38 #3875 | Zbl 0169.25803 · Zbl 0169.25803
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.