Compatible relations on filters and stability of local topological properties under supremum and product

Details Compatible relations on filters and stability of local topological properties under supremum and product Compatible relations on filters and stability of local topological properties under supremum and product

2004-09-30

arxiv.org/abs/math/0409609v1

Topology and its Applications 153(2006):2386-2412

Mathematics

General Topology

28 pages

Scientific paper

An abstract scheme using particular types of relations on filters leads to general unifying results on stability under supremum and product of local topological properties. We present applications for Frechetness, strong Frechetness, countable tightness and countable fan-tightness, some of which recover or refine classical results, some of which are new. The reader may find other applications as well.

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