Topologies on products of partially ordered sets III: Order convergence and order topology
Copyright policy )Topologies on products of partially ordered sets III: Order convergence and order topology
This paper deals with the question under which circumstances filter-theoretical order convergence in a product of posets may be computed componentwise, and the same problem is treated for convergence in the order topology (which may differ from order convergence). The main results are: Many examples are presented in order to illustrate how far the obtained results are as sharp as possible.
- University of Hannover Germany
Lattice ideals, congruence relations, Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), Topological lattices, Partial orders, general, order convergence, Ordered topological structures, topological order convergence, product in posets, order topologies, Topological lattices, etc. (topological aspects), product topology
Lattice ideals, congruence relations, Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), Topological lattices, Partial orders, general, order convergence, Ordered topological structures, topological order convergence, product in posets, order topologies, Topological lattices, etc. (topological aspects), product topology
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