Preface

Nagata, Jun-iti

doi:10.1016/s0924-6509(09)70047-9

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Proof Of Theorem2

Introduction2

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Cited by 12 publications

(14 citation statements)

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“…A space is called a a-space if it has a cr -locally finite net [13]. Note that Lasnev spaces (i.e., closed images of metric spaces) are Mx, and Mi-spaces are paracompact a [13].…”

Section: Proof Of Theoremmentioning

confidence: 99%

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Countable paracompactness of Σ-products

Yang¹

1994

Proc. Amer. Math. Soc.

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“…A space is called a a-space if it has a cr -locally finite net [13]. Note that Lasnev spaces (i.e., closed images of metric spaces) are Mx, and Mi-spaces are paracompact a [13].…”

Section: Proof Of Theoremmentioning

confidence: 99%

“…Note that Lasnev spaces (i.e., closed images of metric spaces) are Mx, and Mi-spaces are paracompact a [13]. It is well known that the countable product of paracompact cr-spaces (Z-spaces) is paracompact o (Z).…”

Section: Proof Of Theoremmentioning

confidence: 99%

Countable paracompactness of Σ-products

Yang¹

1994

Proc. Amer. Math. Soc.

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“…is a first countable dyadic space, by [N,Theorem VIII,11] Y{X) is a compact metrizable space. Let px'.…”

Section: Setmentioning

confidence: 99%

On 𝜙-extensions of developable spaces

Mizokami¹

1993

Proc. Amer. Math. Soc.

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“…In this case the pair (X, U) is called a uniform space. For further reading on the topic of uniformities see [2], [11], [14].…”

Section: Introductionmentioning

confidence: 99%

Quasi-uniform completions of partially ordered spaces

Buhagiar

Telenta

2007

Mathematica Slovaca

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ABSTRACT. In this paper we define partially ordered quasi-uniform spaces (X, U, ≤) (PO-quasi-uniform spaces) as those spaces with a biconvex quasi-uniformity U on the poset (X, ≤) and give a construction of a (transitive) biconvex compatible quasi-uniformity on a partially ordered topological space when its topology satisfies certain natural conditions. We also show that under certain conditions on the topology τ U * of a PO-quasi-uniform space (X, U, ≤), the bicompletion ( e X, e U) of (X, U) is also a PO-quasi-uniform space ( e X, e U, ) with a partial order on e X that extends ≤ in a natural way.

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Preface

Cited by 12 publications

References 0 publications

Countable paracompactness of Σ-products

Countable paracompactness of Σ-products

On 𝜙-extensions of developable spaces

Quasi-uniform completions of partially ordered spaces

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