A foliation of 𝐑 3 and other punctured 3-manifolds by circles

Elmar Vogt

Publications Mathématiques de l'IHÉS (1989)

  • Volume: 69, page 215-232
  • ISSN: 0073-8301

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Vogt, Elmar. "A foliation of $\mathbf {R}^3$ and other punctured 3-manifolds by circles." Publications Mathématiques de l'IHÉS 69 (1989): 215-232. <http://eudml.org/doc/104052>.

@article{Vogt1989,
author = {Vogt, Elmar},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {compact foliation; foliation by circles; ; Epstein hierarchy},
language = {eng},
pages = {215-232},
publisher = {Institut des Hautes Études Scientifiques},
title = {A foliation of $\mathbf \{R\}^3$ and other punctured 3-manifolds by circles},
url = {http://eudml.org/doc/104052},
volume = {69},
year = {1989},
}

TY - JOUR
AU - Vogt, Elmar
TI - A foliation of $\mathbf {R}^3$ and other punctured 3-manifolds by circles
JO - Publications Mathématiques de l'IHÉS
PY - 1989
PB - Institut des Hautes Études Scientifiques
VL - 69
SP - 215
EP - 232
LA - eng
KW - compact foliation; foliation by circles; ; Epstein hierarchy
UR - http://eudml.org/doc/104052
ER -

References

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  1. [Bi] R. H. BING, Decompositions of E3, in Topology of 3-manifolds, Proc. Univ. of Georgia Institute, 1961 (M.K. Fort, Jr., Editor), 5-21, Englewood Cliffs, N.J., Prentice Hall, 1962. Zbl0119.18804
  2. [Bo-Se] A. BOREL and J. P. SERRE, Impossibilité de fibrer un espace euclidien par des fibres compactes, C.R. Acad. Sci. Paris, 230 (1950), 2258-2260. Zbl0037.26304MR12,120e
  3. [EMS] R. EDWARDS, K. MILLET, D. SULLIVAN, Foliations with all leaves compact, Topology, 16 (1977), 13-32. Zbl0356.57022MR55 #11268
  4. [Ep1] D. B. A. EPSTEIN, Periodic flows on 3-manifolds, Ann. of Math., 95 (1972), 66-82. Zbl0231.58009MR44 #5981
  5. [Ep2] D. B. A. EPSTEIN, Foliations with all leaves compact, Ann. Inst. Fourier Grenoble, 26 (1976), 265-282. Zbl0313.57017MR54 #8664
  6. [Ep-Vo] D. B. A. EPSTEIN and E. VOGT, A counterexample to the periodic orbit conjecture in codimension 3, Ann. of Math., 108 (1978), 539-552. Zbl0418.57013MR80c:57014
  7. [Re] G. REEB, Sur certaines propriétés topologiques des variétés feuilletées, Act. Sci. Indust., Paris, Hermann, 1952. Zbl0049.12602MR14,1113a
  8. [Sch] P. A. SCHWEITZER, Some problems in foliation theory and related areas, Problem 36, in Differential Topology, Foliations, and Gelfand-Fuks-Cohomology, Proc. Rio de Janeiro, 1976, Lecture Notes in Math., 652, Berlin-Heidelberg-New York, Springer Verlag, 1978, 240-252. Zbl0377.57001
  9. [Sei] H. SEIFERT, Topologie dreidimensionaler gefaserter Räume, Acta Math., 60 (1933), 147-238. Zbl0006.08304JFM59.1241.02
  10. [Sh] A. SHAPIRO, Cohomologie dans les espaces fibrés, C.R. Acad. Sci. Paris, 231 (1950), 206-207. Zbl0038.36502MR12,196b
  11. [Su] D. SULLIVAN, A counterexample to the periodic orbit conjecture, Publ. Math. I.H.E.S., 46 (1976), 5-14. Zbl0372.58011MR58 #18492
  12. [Vo1] E. VOGT, Foliations of codimension 2 with all leaves compact, Manuscripta Math., 18 (1976), 187-212. Zbl0316.57014MR53 #4091
  13. [Vo2] E. VOGT, Homology groups of open 3-manifolds which support periodic flows of finite Epstein hierarchy (in preparation). 

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