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Pseudo-boundaries and pseudo-interiors for topological convexities

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Van de Vel M.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS 0. Introduction......... .............................................................5 1. Topological convexity structures.......................................6 2. Half-spaces and related results......................................12 3. Pseudo-boundaries........................................................25 4. The Krein-Milman theorem.............................................33 5. Pseudo-interiority...........................................................40 6. The existence of pseudo-interior points.........................50 7. Identification of Z-set and Hilbert cubes.........................62 References........................................................................70 Subject index.....................................................................72

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1 Van de Vel M.

1 1983

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Pseudo-boundaries and pseudo-interiors for topological convexities