Wyniki wyszukiwania

1

Concrete subspaces and quotient spaces of locally convex spaces and completing sequences

100%

Önal S., Terzioğlu T.

Instytut Matematyczny Polskiej Akademii Nauk

EN

CONTENTS Introduction..................................................................................5 1. Almost bounded sets and operators........................................6 2. Eidelheit’s theorem................................................................13 3. Nuclear Köthe quotients.........................................................20 4. Nuclear Köthe subspaces and completing sequences...........22 5. Applications...........................................................................25 6. Spaces of continuous functions.............................................30 References................................................................................35

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On weaker forms of the chain (F) condition and metacompactness-like covering properties in the product spaces

94%

Önal S., Vural Ç.

Open Mathematics

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2013

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tom 11

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nr 9

1635-1642

EN

We introduce the concept of a family of sets generating another family. Then we prove that if X is a topological space and X has W = {W(x): x ∈ X} which is finitely generated by a countable family satisfying (F) which consists of families each Noetherian of ω-rank, then X is metaLindelöf as well as a countable product of them. We also prove that if W satisfies ω-rank (F) and, for every x ∈ X, W(x) is of the form W 0(x) ∪ W 1(x), where W 0(x) is Noetherian and W 1(x) consists of neighbourhoods of x, then X is metacompact.

3

Power stability of k-spaces and compactness

47%

Önal S.

Fundamenta Mathematicae

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1991

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tom 138

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nr 3

193-195

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Open Mathematics

3 Önal S.

1 Terzioğlu T.

1 Vural Ç.

1 2013

1 1992

1 1991

Concrete subspaces and quotient spaces of locally convex spaces and completing sequences

On weaker forms of the chain (F) condition and metacompactness-like covering properties in the product spaces

Power stability of k-spaces and compactness