Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Puppe_sequence> ?p ?o }
Showing triples 1 to 40 of
40
with 100 triples per page.
- Puppe_sequence abstract "In mathematics, the Puppe sequence is a construction of homotopy theory. Intuitively, the Puppe sequence allows us to think of homology theory as a functor that takes spaces to long-exact sequences of groups.Let f:A → B be a continuous map between CW complexes and let C(f) denote a cone of f, (i.e., the cofiber of the map $f$), so that we have a (cofiber) sequence:A → B → C(f).Now we can form ΣA and ΣB, suspensions of A and B respectively, and also Σf: ΣA → ΣB (this is because suspension might be seen as a functor), obtaining a sequence: ΣA → ΣB → C(Σf).Note that suspension preserves cofiber sequences.Due to this powerful fact we know that C(Σf) is homotopy equivalent to ΣC(f). By collapsing B ⊆ C(f) to a point, one has a natural map C(f) → ΣA. Thus we have a sequence: A → B → C(f) → ΣA → ΣB → ΣC(f).Iterating this construction, we obtain the Puppe sequence associated to A → B: A → B → C(f) → ΣA → ΣB → ΣC(f) → Σ2A → Σ2B → Σ2C(f) → Σ3A → Σ3B → Σ3C(f) → ....".
- Puppe_sequence wikiPageID "4734210".
- Puppe_sequence wikiPageLength "2875".
- Puppe_sequence wikiPageOutDegree "22".
- Puppe_sequence wikiPageRevisionID "681178087".
- Puppe_sequence wikiPageWikiLink CW_complex.
- Puppe_sequence wikiPageWikiLink Category:Homotopy_theory.
- Puppe_sequence wikiPageWikiLink Category_(mathematics).
- Puppe_sequence wikiPageWikiLink Continuous_function.
- Puppe_sequence wikiPageWikiLink Continuous_map.
- Puppe_sequence wikiPageWikiLink Eilenberg–Steenrod_axioms.
- Puppe_sequence wikiPageWikiLink Exact_sequence.
- Puppe_sequence wikiPageWikiLink Functor.
- Puppe_sequence wikiPageWikiLink Homology_(mathematics).
- Puppe_sequence wikiPageWikiLink Homology_theory.
- Puppe_sequence wikiPageWikiLink Homotopy.
- Puppe_sequence wikiPageWikiLink Homotopy_equivalent.
- Puppe_sequence wikiPageWikiLink Homotopy_theory.
- Puppe_sequence wikiPageWikiLink Mapping_cone_(topology).
- Puppe_sequence wikiPageWikiLink Mathematics.
- Puppe_sequence wikiPageWikiLink Pointed_space.
- Puppe_sequence wikiPageWikiLink Suspension_(topology).
- Puppe_sequence wikiPageWikiLink Topological_half-exact_functor.
- Puppe_sequence hasPhotoCollection Puppe_sequence.
- Puppe_sequence wikiPageUsesTemplate Template:Multiple_issues.
- Puppe_sequence subject Category:Homotopy_theory.
- Puppe_sequence hypernym Construction.
- Puppe_sequence type Article.
- Puppe_sequence type Company.
- Puppe_sequence type Article.
- Puppe_sequence type Mapping.
- Puppe_sequence comment "In mathematics, the Puppe sequence is a construction of homotopy theory.".
- Puppe_sequence label "Puppe sequence".
- Puppe_sequence sameAs Puppe-Folge.
- Puppe_sequence sameAs Suite_de_Puppe.
- Puppe_sequence sameAs m.0ckk6c.
- Puppe_sequence sameAs Q7260695.
- Puppe_sequence sameAs Q7260695.
- Puppe_sequence wasDerivedFrom Puppe_sequence?oldid=681178087.
- Puppe_sequence isPrimaryTopicOf Puppe_sequence.