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- Cellular_approximation_theorem abstract "In algebraic topology, in the cellular approximation theorem, a map between CW-complexes can always be taken to be of a specific type. Concretely, if X and Y are CW-complexes, and f : X → Y is a continuous map, then f is said to be cellular, if f takes the n-skeleton of X to the n-skeleton of Y for all n, i.e. if for all n. The content of the cellular approximation theorem is then that any continuous map f : X → Y between CW-complexes X and Y is homotopic to a cellular map, and if f is already cellular on a subcomplex A of X, then we can furthermore choose the homotopy to be stationary on A. From an algebraic topological viewpoint, any map between CW-complexes can thus be taken to be cellular.".
- Cellular_approximation_theorem wikiPageExternalLink ATpage.html.
- Cellular_approximation_theorem wikiPageID "21537120".
- Cellular_approximation_theorem wikiPageRevisionID "573815809".
- Cellular_approximation_theorem subject Category:Theorems_in_algebraic_topology.
- Cellular_approximation_theorem comment "In algebraic topology, in the cellular approximation theorem, a map between CW-complexes can always be taken to be of a specific type. Concretely, if X and Y are CW-complexes, and f : X → Y is a continuous map, then f is said to be cellular, if f takes the n-skeleton of X to the n-skeleton of Y for all n, i.e. if for all n.".
- Cellular_approximation_theorem label "Cellular approximation theorem".
- Cellular_approximation_theorem sameAs m.05h5d5m.
- Cellular_approximation_theorem sameAs Q5058350.
- Cellular_approximation_theorem sameAs Q5058350.
- Cellular_approximation_theorem wasDerivedFrom Cellular_approximation_theorem?oldid=573815809.
- Cellular_approximation_theorem isPrimaryTopicOf Cellular_approximation_theorem.