On the fundamental group and triple Massey's product
| dc.creator | Rybnikov, Grigori | |
| dc.date | 1998-05-13 | |
| dc.date.accessioned | 2026-07-07T05:24:45Z | |
| dc.date.available | 2026-07-07T05:24:45Z | |
| dc.description | Let us say that a map of arcwise connected topological spaces (having the homotopy type of CW-complexes) is a pseudo-homeomorphism if it induces an isomorphism of the first integer homology groups and an epimorphism of the second integer homology groups. We prove that any invariant of a topological space w.r.t. pseudo-homeomorphisms is an invariant of the fundamental group of this space. We also describe a necessary condition for the fundamental groups to be distinguished by such invariants. As an example we show that the invariant used in math.AG/9805056 to distinguish the fundamental groups of combinatorially equivalent arrangements is, in fact, a form of triple Massey's product on the first integer homology group. | |
| dc.description | 11 pages, Latex2e with AMSLaTeX 1.2, uses XY-pic package | |
| dc.identifier | https://arxiv.org/abs/math/9805061 | |
| dc.identifier | http://arxiv.org/abs/math/9805061 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76926 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.title | On the fundamental group and triple Massey's product | |
| dc.type | text |