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Rational extensions of C(X) and semicontinuous functions

100%

Schmid J.

Instytut Matematyczny Polskiej Akademii Nauk

EN

CONTENTS 0. Introduction...............................................................5 1. Notations and basic facts .........................................6 2. Semicontinuous functions.........................................9 3. Lattices or normal semicontinuous functions...........12 4. Q(∧)C(X).................................................................16 5. Q(∧)C(X) versus Q(∨)C(X)......................................21 6. Q(·) versus Q(∧) and Q(∨)......................................22 7. References..............................................................27

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Quasivarieties of pseudocomplemented semilattices

49%

Adams M. E., Dziobiak W., Gould M., Schmid J.

Fundamenta Mathematicae

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1994-1995

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tom 146

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nr 3

295-312

EN

Two properties of the lattice of quasivarieties of pseudocomplemented semilattices are established, namely, in the quasivariety generated by the 3-element chain, there is a sublattice freely generated by ω elements and there are $2^ω$ quasivarieties.

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On lattices of continuous order-preserving functions

36%

Schmid J.

Fundamenta Mathematicae

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1980

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tom 106

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nr 1

19-30

4

On the compactification of closure algebras

31%

Schmid J.

Fundamenta Mathematicae

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1973

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tom 79

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nr 1

33-48

5

Enlargements without urelements

25%

Schmid J., Schmidt J.

Colloquium Mathematicum

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1987

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tom 52

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nr 1

1-22

Ograniczanie wyników

3 Fundamenta Mathematicae

1 Colloquium Mathematicum

5 Schmid J.

1 Adams M. E.

1 Dziobiak W.

1 Gould M.

1 Schmidt J.

1 1995

1 1988

1 1987

1 1980

1 1973

Rational extensions of C(X) and semicontinuous functions

Quasivarieties of pseudocomplemented semilattices

On lattices of continuous order-preserving functions

On the compactification of closure algebras

Enlargements without urelements