engleski

There are no phantom pairs of mappings to 1-dimensional CW- complexes

Two mappings are said to form a phantom pair provided they are not homotopic although their restrictions to any compact subset are homotopic. It is proved that there are no phantom pairs of mappings between 1-dimensional CW-complexes. To obtain his result the author proves a certain theorem on free groups.

homotopy classification of mappings ; 1-dimensional CW-complexes ; phantom pairs of mappings ; fundamental group ; free group

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