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In mathematics, a topological space X {\displaystyle X} is called collectionwise normal if for every discrete family Fi (i ∈ I) of closed subsets of X...

of topology, a topological space X {\displaystyle X} is said to be collectionwise Hausdorff if given any closed discrete subset of X {\displaystyle X}...

complete Boolean algebras. An extremally disconnected first-countable collectionwise Hausdorff space must be discrete. In particular, for metric spaces,...

the space of functions from R to itself is Tychonoff but not normal. Collectionwise normal space – Property of topological spaces stronger than normality...

the important concept of collectionwise normality and proved that a Moore space is metrizable if and only if it is collectionwise normal. He constructed...

first-countable space is regular. Every normal countably compact space is collectionwise normal. The product of a compact space and a countably compact space...

other metrization theorems, e.g. the Moore metrization theorem – a collectionwise normal, Moore space is metrizable – is a direct consequence. Unlike...

Hausdorff (or T5). Every monotonically normal space is hereditarily collectionwise normal. The image of a monotonically normal space under a continuous...

discrete collection of closed sets has a locally finite open expansion. Collectionwise normal space – Property of topological spaces stronger than normality...

the set of all real numbers endowed with the cofinite topology shows. Collectionwise normal space – Property of topological spaces stronger than normality...

general topology, earning a master's degree in 1957 with the thesis Collectionwise normal and strongly paracompact spaces on strengthened definitions for...

a researcher in topology and set theory's fields, with enphasis in collectionwise normal space. Here is a small collection of Ofelia's works. 1964: On...

be strengthened in this way. Moore himself proved the theorem that a collectionwise normal Moore space is metrizable, so strengthening normality is another...