Phantom map

id: phantom-map-302-18043158
title: Phantom map
text: In homotopy theory, phantom maps are continuous maps f : X → Y of CW-complexes for which the restriction of f to any finite subcomplex Z ⊂ X is inessential. J. Frank Adams and Grant Walker (1964) produced the first known nontrivial example of such a map with Y finite-dimensional. Shortly thereafter, the terminology of "phantom map" was coined by Brayton Gray (1966), who constructed a stably essential phantom map from infinite-dimensional complex projective space to S 3 . The subject was analysed
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Phantom_map
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date modified: 2023-12-21T23:50:10Z
main entity: {"identifier":"Q7180612","url":"https://www.wikidata.org/entity/Q7180612"}
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fields total: 13
integrity: 13

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