Smooth 4-Dimensional Thickening of Singular 2-Dimensional Complex in the non Compact Case

Valentin Poénaru; Corrado Tanasi

Bollettino dell'Unione Matematica Italiana (2009)

  • Volume: 2, Issue: 2, page 467-482
  • ISSN: 0392-4041

Abstract

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The present paper extends the theory of 4-dimensional thickening [3], [4], in the NON-PROPER case. Concrete uses of this extensions are to be founded in [2].

How to cite

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Poénaru, Valentin, and Tanasi, Corrado. "Smooth 4-Dimensional Thickening of Singular 2-Dimensional Complex in the non Compact Case." Bollettino dell'Unione Matematica Italiana 2.2 (2009): 467-482. <http://eudml.org/doc/290575>.

@article{Poénaru2009,
abstract = {The present paper extends the theory of 4-dimensional thickening [3], [4], in the NON-PROPER case. Concrete uses of this extensions are to be founded in [2].},
author = {Poénaru, Valentin, Tanasi, Corrado},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {467-482},
publisher = {Unione Matematica Italiana},
title = {Smooth 4-Dimensional Thickening of Singular 2-Dimensional Complex in the non Compact Case},
url = {http://eudml.org/doc/290575},
volume = {2},
year = {2009},
}

TY - JOUR
AU - Poénaru, Valentin
AU - Tanasi, Corrado
TI - Smooth 4-Dimensional Thickening of Singular 2-Dimensional Complex in the non Compact Case
JO - Bollettino dell'Unione Matematica Italiana
DA - 2009/6//
PB - Unione Matematica Italiana
VL - 2
IS - 2
SP - 467
EP - 482
AB - The present paper extends the theory of 4-dimensional thickening [3], [4], in the NON-PROPER case. Concrete uses of this extensions are to be founded in [2].
LA - eng
UR - http://eudml.org/doc/290575
ER -

References

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  1. GABAI, D., Valentin Poénaru's Program for the Poincaré Conjecture, in volume Geometry, Topology and Physics for Raoul Bott, S.T. Yau editor, International Press (1994), 139-166 MR1358616
  2. POÉNARU, V., Discrete Symmetry with Compact Fundamental Domain and Geometric Simple Connectivity - A provisional Outline of Work in Progress - Preprint Univ. Paris-Sud 2007-16. 
  3. POÉNARU, V., Infinite processes and the 3-dimensional Poincaré Conjecture I: The collapsible pseudo-spine representation theorem,Topology, vol. 31, n. 3 (1992), 625-656. MR1174263DOI10.1016/0040-9383(92)90055-M
  4. POÉNARU, V., Infinite processes and the 3-dimensional Poincaré Conjecture II: The Honeycom representation theorem (second revised version), Prépublications d'Orsay 93-14 (1994). 
  5. POÉNARU, V., Geometric simple connectivity in smooth four dimensional Topology, Part A (this is an expanded version, with full details of the previous item) Préprint IHES/M/01/45 (2001). 
  6. POÉNARU, V. - TANASI, C., Equivariant Almost-Arborescent representations of open simply-connected 3-manifolds; A finiteness result; Memoirs of the AMS n. 800 May 2004. vol. 169. Zbl1052.57017MR2045642DOI10.1090/memo/0800
  7. POÉNARU, V. - TANASI, C., Some Remarks on Geometric Simple connectivity in Dimension Four. Part A, Rend. Sem. Mat. e Pol. Torino, vol. 65 no. 3 (2007). Zbl1150.57005MR2378958

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