Abstract The main result of this paper is the following Theorem 1. Let 4 be a smooth compact bounded 4-manifold, which is geometrically simply-connected at long distance. It is assumed that @4 is a homology sphere. Then the open manifold int(4#1#(S2×D2)) is geometrically simply connected. The setting for this result is the diff category. Together with our earlier results it implies the Corollary 2. If 3 is a homotopy 3-ball then int((3×I)#1#(S2×D2)) is geometrically simply connected. This is one of the links which was missing in our program for the Poincaré Conjecture.

Geometric Simple connectivity in smooth Four-dimentional Topology (Po V-A): an outline / Poenaru, V.. - ELETTRONICO. - (2003), pp. 1-44.

Geometric Simple connectivity in smooth Four-dimentional Topology (Po V-A): an outline

Poenaru, V.
2003-01-01

Abstract

Abstract The main result of this paper is the following Theorem 1. Let 4 be a smooth compact bounded 4-manifold, which is geometrically simply-connected at long distance. It is assumed that @4 is a homology sphere. Then the open manifold int(4#1#(S2×D2)) is geometrically simply connected. The setting for this result is the diff category. Together with our earlier results it implies the Corollary 2. If 3 is a homotopy 3-ball then int((3×I)#1#(S2×D2)) is geometrically simply connected. This is one of the links which was missing in our program for the Poincaré Conjecture.
2003
Trento, Italia
Università degli Studi di Trento. Dipartimento di Matematica
Geometric Simple connectivity in smooth Four-dimentional Topology (Po V-A): an outline / Poenaru, V.. - ELETTRONICO. - (2003), pp. 1-44.
Poenaru, V.
File in questo prodotto:
File Dimensione Formato  
UTM649.pdf

accesso aperto

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 457.64 kB
Formato Adobe PDF
457.64 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/359171
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact