Anzeige
Erschienen in:
2011 | OriginalPaper | Buchkapitel
3. Homology Groups
verfasst von : Gregory L. Naber
Erschienen in: Topology, Geometry and Gauge fields
Verlag: Springer New York
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Abstract
The homotopy groups πn(X, x0) of a space are relatively easy to define, clearly topological invariants and, indeed, invariants of homotopy type, but are also extraordinarily difficult to compute even for quite simple spaces. Now we intend to provide a brief introduction to another set of invariants for which this situation is reversed. The singular homology groups require some work to define and their homotopy invariance is not so obvious, but once some basic tools are developed their computation is comparatively straightforward.