Minimal atlases of manifolds
Cavicchioli, Alberto ; Grasselli, Luigi
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 26 (1985), p. 389-397 / Harvested from Numdam
Publié le : 1985-01-01
@article{CTGDC_1985__26_4_389_0,
     author = {Cavicchioli, Alberto and Grasselli, Luigi},
     title = {Minimal atlases of manifolds},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     volume = {26},
     year = {1985},
     pages = {389-397},
     mrnumber = {816648},
     zbl = {0593.55002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CTGDC_1985__26_4_389_0}
}
Cavicchioli, Alberto; Grasselli, Luigi. Minimal atlases of manifolds. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 26 (1985) pp. 389-397. http://gdmltest.u-ga.fr/item/CTGDC_1985__26_4_389_0/

DH P. Doyle & J. Hocking, A decomposition theorem for n-dimensional manifolds, Proc. A.M.S. 13 (1962), 469-471. | MR 141101 | Zbl 0122.41705

FGl M. Ferri & C. Gagliardi, Crystallisation moves, Pac. J. Math. 100 (1982), 85-103. | MR 661442 | Zbl 0517.57003

FG2 M. Ferri & C. Gagliardi, Strong ball coverings of manifolds, Atti Sem. Mat. Fis. Univ. Modena 28 (1979), 289-293. | MR 599057 | Zbl 0464.57008

H J.F.P. Hudson, Piecewise linear topology, W.A. Benjamin Inc., 1969. | MR 248844 | Zbl 0189.54507

HM J.P. Hempel & D.R. Mcmillan Jr, Covering three-manifolds with open cells, Fund. Math. 64 (1969), 99-104. | MR 243530 | Zbl 0176.53302

HW P.J. Hilton & S. Wylie, An introduction to algebraic topology, homology theory, Cambridge Univ. Press, 1960. | MR 115161 | Zbl 0091.36306

KT K. Kobayashi & Y. Tsukui, The ball coverings of manifolds, J. Math. Soc. Japan 28 (1976), 133-143. | MR 391111 | Zbl 0313.57004

IY H. Ikeda & M. Yamashita, Closed 4-manifolds covered by three 4-balls, Yokohama Math. J. 26 (1978), 109-117. | MR 524869 | Zbl 0395.57010

L.E. Luft, Covering manifolds with open discs, Illinois J. Math. 13 (1969), 321-326. | MR 242162 | Zbl 0191.54902

Ml D. Moran, Minimal cell coverings of some sphere bundles, Comm. Math. Univ. Carolinae 14 (1973), 647-650. | MR 331383 | Zbl 0266.55011

M2 D. Moran, Cell coverings and residual sets of closed manifolds, Illinois J. Math. 20 (1976), 516-518. | MR 405427 | Zbl 0321.57005

OS R. Osborne & J. Stern, Covering manifolds with cells, Pac. J. of Math. 30 (1969), 201-207. | MR 245014 | Zbl 0176.53301

P1 M. Pezzana, Sulla struttura topologica delle varietà compatte, Atti Sem. Mat. Fis. Univ. Modena 23 (1974), 269-277. | MR 402792 | Zbl 0314.57005

P2 M. Pezzana, Atlanti minimali di varietà differenziabili compatte, Boll. Un. Mat. Ital. 6 (1968), 749-752. | MR 240832 | Zbl 0175.20301

PD E.K. Pedersen, Spines of topological manifolds, Comm. Math. Helv. 50 (1975), 41-44. | MR 375325 | Zbl 0296.57003

S1 R. Summerhill, General position for closed subsets of euclidean spaces, Gen. Top. and Appl. 3 (1973), 339-345. | MR 331348 | Zbl 0274.57001

S2 R. Summerhill, A characterization of the connectivity of a manifold in terms of large open cells, Proc. A.M.S. 45 (1974), 285-290. | MR 380808 | Zbl 0301.57002

SN W. Singhof, Minimal coverings of manifolds with balls, Manuscripta Math. 29 (1979), 385-415. | MR 545050 | Zbl 0415.55001

SP E.H. Spanier, Algebraic topology, McGraw-Hill, 1966. | MR 210112 | Zbl 0145.43303

Zl E.C. Zeeman, Seminar on combinatorial topology, Inst. H.E.S., Paris 1963. | Zbl 0179.52402

Z2 E.C. Zeeman, The Poincaré conjecture for n ≽ 5, Topology of 3-manifolds and related topics, Prentice-Hall, Englewood Cliffs, N.J. 1963. | Zbl 1246.57032