There are no Phantom Pairs of Mappings to 1-Dimensional CW-Complexes
Volume 55 / 2007
Bulletin Polish Acad. Sci. Math. 55 (2007), 365-371
MSC: 57M05, 55S37, 20E05.
DOI: 10.4064/ba55-4-8
Abstract
Two mappings from a CW-complex to a 1-dimensional CW-complex are homotopic if and only if their restrictions to finite subcomplexes are homotopic.