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ON COLIMITS OVER ARBITRARY POSETS

Published online by Cambridge University Press:  22 July 2015

M. DOKUCHAEV
Affiliation:
Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão, 1010, 05508-090 São Paulo, SP, Brasil e-mail: [email protected]
B. NOVIKOV
Affiliation:
Kharkov National University, Svobody sq., 4 61077, Kharkov, Ukraine e-mail: [email protected]
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2015 

References

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