ON COLIMITS OVER ARBITRARY POSETS
Glasgow mathematical journal, Tome 58 (2016) no. 1, pp. 219-228
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We characterize those partially ordered sets I for which the canonical maps Mi → colim Mj into colimits of abstract sets are always injective, provided that the transition maps are injective. We also obtain some consequences for colimits of vector spaces.
DOKUCHAEV, M.; NOVIKOV, B. ON COLIMITS OVER ARBITRARY POSETS. Glasgow mathematical journal, Tome 58 (2016) no. 1, pp. 219-228. doi: 10.1017/S0017089515000166
@article{10_1017_S0017089515000166,
author = {DOKUCHAEV, M. and NOVIKOV, B.},
title = {ON {COLIMITS} {OVER} {ARBITRARY} {POSETS}},
journal = {Glasgow mathematical journal},
pages = {219--228},
year = {2016},
volume = {58},
number = {1},
doi = {10.1017/S0017089515000166},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000166/}
}
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