Representation of relatively uniform and order convergence topologies by an inductive limit
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2013), pp. 9-20
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Using the concept of a topological affine space, it is proved that a partially ordered topological linear space associated with relatively uniform and order convergence can be represented by an inductive limit of its subspaces.
@article{VMUMM_2013_5_a1,
author = {V. M. Fedorov},
title = {Representation of relatively uniform and order convergence topologies by an inductive limit},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {9--20},
publisher = {mathdoc},
number = {5},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2013_5_a1/}
}
TY - JOUR AU - V. M. Fedorov TI - Representation of relatively uniform and order convergence topologies by an inductive limit JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2013 SP - 9 EP - 20 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2013_5_a1/ LA - ru ID - VMUMM_2013_5_a1 ER -
V. M. Fedorov. Representation of relatively uniform and order convergence topologies by an inductive limit. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2013), pp. 9-20. http://geodesic.mathdoc.fr/item/VMUMM_2013_5_a1/