Papers on General Topology and Applications: Ninth Summer Conference at Slippery Rock UniversitySusan Andima This work presents subjects of such interest to topologists as Tychnoff poset structures, resolvability in topology, Hausdorff spaces, quasi-metrisation, uniformisable space, distal functions, maximal complete subgraphs, B-spaces, inverse-compactness, filtration of compact space, duality between locally m-convex algebras, countable compactness, ordered power associative groupoids, semilattices of ordered compactifications, feebly compact expansions, topological nearrings, connectedness and disconnectedness, completion of filter spaces, homogeneous externally disconnected spaces, and fixed-point free maps. |
Contents
OSCAR MASAVEU AND HAO ZHOU | 17 |
JULIAN DONTCHEV | 28 |
Tychonoff Poset Structures and Auxiliary Relations By R C FLAGG | 45 |
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additive algebraic Applications assume base bitopological bounded called cardinality Cauchy characterization choose clopen closed subset closure compact space compactification complete connected consider consisting constant contains continuous functions convergence COROLLARY countable cover defined DEFINITION denote dense disconnectedness discrete disjoint element equivalent EXAMPLE exists extension fact feebly compact filter space finite function given graph Hausdorff space hence holds homeomorphism ideal implies induced infinite inversely compact Katětov Lemma Math Mathematics maximal feebly compact neighborhood Note obtain operation partition Proof PROPOSITION prove quotient reflective subcategory regular relation resolvable respectively result satisfies semigroup separated sequence space X strongly feebly compact structure subcategory Suppose THEOREM theory topological category topological spaces ultrafilter uniform uniformly unique University Urysohn usual York