There are no Phantom Pairs of Mappings to 1-Dimensional CW-Complexes

Sibe Mardešić

Bulletin of the Polish Academy of Sciences. Mathematics (2007)

  • Volume: 55, Issue: 4, page 365-371
  • ISSN: 0239-7269

Abstract

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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.

How to cite

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Sibe Mardešić. "There are no Phantom Pairs of Mappings to 1-Dimensional CW-Complexes." Bulletin of the Polish Academy of Sciences. Mathematics 55.4 (2007): 365-371. <http://eudml.org/doc/281296>.

@article{SibeMardešić2007,
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.},
author = {Sibe Mardešić},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {1-dimensional complex; phantom; homotopy classification of mappings; fundamental group; free group},
language = {eng},
number = {4},
pages = {365-371},
title = {There are no Phantom Pairs of Mappings to 1-Dimensional CW-Complexes},
url = {http://eudml.org/doc/281296},
volume = {55},
year = {2007},
}

TY - JOUR
AU - Sibe Mardešić
TI - There are no Phantom Pairs of Mappings to 1-Dimensional CW-Complexes
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 4
SP - 365
EP - 371
AB - 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.
LA - eng
KW - 1-dimensional complex; phantom; homotopy classification of mappings; fundamental group; free group
UR - http://eudml.org/doc/281296
ER -

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