Topological properties of high-dimensional handles

A. Cavicchioli; F. Hegenbarth; F. Spaggiari

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1998)

  • Volume: 39, Issue: 1, page 45-62
  • ISSN: 1245-530X

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Cavicchioli, A., Hegenbarth, F., and Spaggiari, F.. "Topological properties of high-dimensional handles." Cahiers de Topologie et Géométrie Différentielle Catégoriques 39.1 (1998): 45-62. <http://eudml.org/doc/91600>.

@article{Cavicchioli1998,
author = {Cavicchioli, A., Hegenbarth, F., Spaggiari, F.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {homotopy equivalences; handlebodies; pseudo-isotopies; obstruction theory; handle presentations of manifolds},
language = {eng},
number = {1},
pages = {45-62},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Topological properties of high-dimensional handles},
url = {http://eudml.org/doc/91600},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Cavicchioli, A.
AU - Hegenbarth, F.
AU - Spaggiari, F.
TI - Topological properties of high-dimensional handles
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1998
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 39
IS - 1
SP - 45
EP - 62
LA - eng
KW - homotopy equivalences; handlebodies; pseudo-isotopies; obstruction theory; handle presentations of manifolds
UR - http://eudml.org/doc/91600
ER -

References

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  1. 1 W. Browder, Manifolds with' Π1 = Z, Bull. Amer. Math. Soc.72 (1966), 238-245. Zbl0136.44102
  2. 2 W. Browder, Diffeomorphisms of 1-connected manifolds, Trans. Amer. Math. Soc.128 (1967), 155-163. Zbl0166.19702MR212816
  3. 3 A. Cavicchioli- F. Hegenbarth, On pseudo-isotopy classes of homeomorphisms of #p(S1 x Sn), Revista Mat. Univ. Complutense de Madrid, to appear. Zbl0922.57015
  4. 4 A. Cavicchioli-F.Hegenbarth, On 4-manifolds with free fundamental group, Forum Math.6 (1994), 415-429. Zbl0822.57015MR1277705
  5. 5 A.T. Fomenko- D.B. Fuchs- V.L. Gutenmacher, Homotopic topology, Akadèmiai Kiadò, Budapest, 1986. Zbl0615.55001MR873943
  6. 6 D.D.J. Hacon, Manifolds of the homotopy type of a bouquet of spheres, Ann. Scuola Normale Sup. Pisa24 (1970), 703-715. Zbl0212.56201MR278313
  7. 7 F. Hosokawa- A.Kawauchi, Proposals for unknotted surfaces in four-spaces, Osaka J. Math.16 (1979), 233-248. Zbl0404.57020MR527028
  8. 8 S.T. Hu, Homotopy theory, Academic Press, New York-London, 1959. Zbl0088.38803MR106454
  9. 9 A. Kawauchi, A partial Poincaré duality theorem for infinite cyclic coverings, Quart. J. Math. Oxford26 (1975), 437-458. Zbl0314.55008MR394691
  10. 10 R. Lashof-J.Shaneson, Classification of Knots in codimension two, Bull. Amer. Math. Soc.75 (1968), 171-175. Zbl0198.28701MR242175
  11. 11 F. Laudenbach, Sur les 2-sphères d' une varietè de dimension 3, Ann. of Math.97 (1973), 57-81. Zbl0246.57003MR314054
  12. 12 F. Laudenbach- V. Poenaru, A note on 4-dimensional handlebodies, Bull. Soc. Math. France100 (1972), 337-344. Zbl0242.57015MR317343
  13. 13 R.A. Litherland, Deforming twist-spun knots, Trans. Amer. Math. Soc.250 (1979), 311-331. Zbl0413.57015MR530058
  14. 14 R.E. Mosher- M.C. Tangora, Cohomology operations and applications in homotopy theory, Harper-Row Publ., New York- Evanston-London, 1968. Zbl0153.53302MR226634
  15. 15 J.M. Montesinos, Heegaard diagrams for closed 4-manifolds, Geometric Topology, Proceedings of the 1977 Georgia Topology Conference (1979), Academic Press, 219-238. Zbl0479.57007MR537732
  16. 16 J. Rotman, An introduction to homological algebra, Academic Press, New York-San Francisco- London, 1979. Zbl0441.18018MR538169
  17. 17 C.P. Rourke- B.J. Sanderson, Introduction to piecewise-linear topology, Springer-Verlag Ed., Berlin-Heidelberg- New York, 1972. Zbl0477.57003MR350744
  18. 18 N. Steenrod, The topology of fibre bundles, Princeton Univ. Press, Princeton, New Jersey, 1951. Zbl0054.07103MR39258
  19. 19 C.T.C. Wall, Classification problems in differential topology I, II, Topology2 (1963), 253-272; III, Topology3 (1965), 291-304; IV, Topology5 (1966), 73-94. Zbl0149.20501
  20. 20 E.C. Zeeman, Twisting spun knots, Trans. Amer. Math. Soc.115 (1965), 471-495. Zbl0134.42902MR195085

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