On topological neighbourhoods

C. P. Rourke; B. J. Sanderson

Compositio Mathematica (1970)

  • Volume: 22, Issue: 4, page 387-424
  • ISSN: 0010-437X

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Rourke, C. P., and Sanderson, B. J.. "On topological neighbourhoods." Compositio Mathematica 22.4 (1970): 387-424. <http://eudml.org/doc/89067>.

@article{Rourke1970,
author = {Rourke, C. P., Sanderson, B. J.},
journal = {Compositio Mathematica},
language = {eng},
number = {4},
pages = {387-424},
publisher = {Wolters-Noordhoff Publishing},
title = {On topological neighbourhoods},
url = {http://eudml.org/doc/89067},
volume = {22},
year = {1970},
}

TY - JOUR
AU - Rourke, C. P.
AU - Sanderson, B. J.
TI - On topological neighbourhoods
JO - Compositio Mathematica
PY - 1970
PB - Wolters-Noordhoff Publishing
VL - 22
IS - 4
SP - 387
EP - 424
LA - eng
UR - http://eudml.org/doc/89067
ER -

References

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  1. W. Browder [1] Open and closed disc bundles. Ann. of Maths.84 (1966), 218-230. Zbl0148.17503MR189058
  2. J.L. Bryant And C.L. Seebeck [2]Locally nice embeddings in codimension three. Bull A.M.S.74 (1968), 378-380. Zbl0169.26202MR221514
  3. A. Dold [3] Partitions of unity in the theory of fibrations. Ann. of Maths.78 (1963), 223-255. Zbl0203.25402MR155330
  4. R. Edwards AND R.C. Kirby [4] On deformations of spaces of embeddings, (to appear). Zbl0214.50303
  5. D. Gauld [5] Mersions of topological manifolds. Ph.D. thesis U.C.L.A. (1969). Zbl0197.20403MR266217
  6. L.C. Glaser AND T.M. Price [6] Unknotting locally flat cell pairs. I11. J. Maths.10 (1966), 425-430. Zbl0138.19002MR196735
  7. H. Gluck [7] Unknotting S1 in S4. Bull. A.M.S.69 (1963), 91-94. Zbl0108.36503MR142114
  8. A. Haefliger [8] Differentiable embeddings of Sn in Sn+q for q &gt; 2. Ann. of Maths.83 (1966), 402-436. Zbl0151.32502MR202151
  9. A. Haefliger [9] Lissage des immersions, II (preprint). Zbl0148.43406MR208607
  10. A. Haefliger [10] Knotted spheres and related geometric topics. Proceedings of I.C.M. (Moscow) 1966. Zbl0192.60304
  11. A. Haefliger And V. Poenaru [11] Classification des immersions combinatoire. Publ. I.H.E.S.23 (1964), 75-91. Zbl0147.42502MR172296
  12. A. Haefliger And C.T.C. Wall [12] PL bundles in the stable range. Topology4 (1965), 209-214. Zbl0151.32602MR184243
  13. M.W. Hirsch [13] On tubular neighbourhoods of manifolds I. Proc. Cam. Phil. Soc.62 (1966), 177-179. Zbl0151.32701MR192500
  14. M.W. Hirsch [14] On non-linear cell bundles. Ann. of Maths.84 (1966), 373-385. Zbl0178.57301MR200936
  15. T. Homma [15] PL approximations of embeddings of manifolds. Notes, Florida State University, (1965). 
  16. J.F.P. Hudson [16] Extending PL isotopies. Proc. Lon. Maths. Soc.16 (1966), 651-668. Zbl0141.40802MR202147
  17. J.F.P. Hudson [17] On transversality. Proc. Camb. Phil. Soc. (to appear). Zbl0184.48604MR238333
  18. J.F.P. Hudson [18] Concordance and isotopy of PL embeddings. Bull. A.M.S.72 (1966), 534-535. Zbl0147.23603MR193641
  19. J.F.P. Hudson And W.B.R. Lickorish [19] Extending PL concordances, (to appear). Zbl0219.57011
  20. J.F.P. Hudson And E.C. Zeeman [20] On combinatorial isotopy. Publ. I.H.E.S.19 (1964), 69-94. Zbl0136.21201MR163318
  21. R.C. Kirby [21 ] Triangulating topological manifolds. Lecture notes U.C.L.A. (1969). 
  22. R.C. Kirby [22] Locally flat submanifolds of codim 2. Proc. Georgia Topology Conf. (1969). 
  23. R.C. Kirby AND L.C. Siebenmann [23] On the triangulation problem and the hauptvermutung. Bull. A.M.S. (1969). Zbl0189.54701
  24. J. Kister [24] Microbundles are fibre bundles. Ann. of Maths.80 (1964), 190-199. Zbl0131.20602MR180986
  25. N. Kuiper AND R. Lashof [25] Microbundles and bundles: I. Invent Maths.1 (1966), 1-17. Zbl0142.21901MR216506
  26. R.C. Lacher [26] Locally flat strings and half strings. Zbl0153.25603
  27. R. Lashof [27] Lees' immersion theorem and the triangulation of manifolds, (to appear). Zbl0176.53206MR239603
  28. R. Lashof AND M. Rothenberg [28] Microbundles and smoothing. Topology3 (1965), 357-388. Zbl0141.40601MR176480
  29. J. Lees [29] Immersions and surgeries of topological manifolds, (to appear). Zbl0176.21703MR239602
  30. J.W. Milnor [30] Microbundles: I. Topology3, Supp. 1 (1964), 53-80. Zbl0124.38404MR161346
  31. C. Morlet [31] Ph.D. thesisParis (1968). 
  32. C.P. Rourke [32] Block bundles and Sullivan theory, (to appear). 
  33. C.P. Rourke AND B.J. Sanderson [33, 34, 35] Block bundles: I, II, III. Ann. of Maths.87 (1968), p.p. 1-28, 255-277, 431-483. Zbl0215.52302MR232404
  34. C.P. Rourke AND B.J. Sanderson [36, 37] Δ-sets: I and II, (to appear). 
  35. C.P. Rourke And B.J. Sanderson [38] An embedding without a normal microbundle. Invent. Maths.3 (1967), 293-299. Zbl0168.44602MR222904
  36. C.P. Rourke And B.J. Sanderson [39] Decompositions and the relative tubular neighbourhood conjecture. Topology, 9 (1970) 225-230. Zbl0213.25004MR261611
  37. P. Scott [40] Ph.D. Thesis, Warwick (1969). 
  38. L. Siebenmann [41] Ph.D. Thesis, Princeton (1966). 
  39. J. Stallings [42] The PL structure of Euclidian space. Proc. Cam. Phil. Soc.58 (1962), 481-488. Zbl0107.40203MR149457
  40. C.T.C. Wall [43] On bundles over a sphere with fibre Euclidean space. Zbl0312.57009
  41. C.T.C. Wall [44] On PL submanifolds of codim 2. Proc. Cam. Phil. Soc.63 (1967), 5-8. Zbl0166.19803MR227993
  42. E.C. Zeeman [45] Unknotting combinatorial balls. Ann. of Maths.78 (1963), 501-526. Zbl0122.17901MR160218

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