Key Phrase page for countable network: Books containing the phrase countable network ... Excerpt - on Page 15: " ... of loo-spaces, introduced by MICHAEL, lies between the class ...

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 352, Number 9, Pages 4095{4111 S0002-9947(00)02473-9 Article electronically published on April 19,2000 A REGULAR SPACE ...

A Regular Space with a Countable Network and Different Dimensions by. George Delistathis & Stephen Watson (York University )

These results have been a source of metrization theorems among which is the fact that a compact space with a point-countable $k$-network is metrizable (recall that a collection ...

Excerpt - on Page 12: " ... dominating families, Comment. Math. Univ. ... indecomposable continua, continuous function universal, perfect compactum, countable network, ...

I. Juhász, L. Soukup, Z. Szentmiklóssy: Forcing countable networks for spaces satisfying R(X^omega)=omega We show that all finite powers of a Hausdorff space X do not contain ...

Spaces with a countable network are characterized as images of separable metric spaces under continuous mappings. The minimum cardinality of a network of a space is called the ...

For each of the words below, decide whether it is countable or noncount. ... network

We also answer two questions from [Tkachuk and Wilson, Weaker connected Hausdorff topologies for spaces with a countable network] regarding condensations onto connected ...

For each of the words below, decide whether it is countable or noncount. ... network

... base if every non-empty open subset of Xcontainssome member of B) such that if B n 2B n and B n+1 ?B n foreachn, then T n2! B n 6=? ; 4. cosmic ([8, page 259]) if it has a countable network, i.e ...

... k-network if when­ ever K c U with K compact and U open in X, then K c U~/ C U for some finite ~/ c~. Such covers have played a role in ~ -spaces [23] (i.e., spaces with a countable k-network) o and ...

... Is it consistent that every uncountable first countable space of counta ble spread either contains an uncountable subspace of the Sorgenfreylineor hasa countable network? If a ...

Your network is a key part to making your business run efficiently. But it can also be a major distraction from getting your work done when it is not working properly.

A space $X$ is in the class $L\Sigma(\leq\kappa)$ if it admits a cover by compact subspaces of weight $\kappa$ and a countable network for the cover.