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A-spaces and countably bi-quotient maps

100%

Michael E., Olson R. C., Siwiec F.

Instytut Matematyczny Polskiej Akademii Nauk

EN

CONTENTS 1. Introduction........................................................................................................................................................................... 5 2. Countably bi-quotient maps and their two generalizations......................................................................................... 9 3. Relatively pseudocompact and lightly compact subsets............................................................................................ 12 4. A'-spaces.............................................................................................................................................................................. 13 5. Internal characterizations and implications for A-spaces and A'-spaces................................................................ 15 6. Characterizations of the mapping properties in Diagram 1.2 and of one other mapping property.................... 20 7. Proofs for Diagram 1.2 and Corollary 1.4....................................................................................................................... 24 8. Proofs for Diagram 1.3....................................................................................................................................................... 25 9. Operations which preserve various kinds of A-spaces and A'-spaces.................................................................... 26 10. A modification of single A-spaces................................................................................................................................. 29 11. Examples........................................................................................................................................................................... 32 References............................................................................................................................................................................... 43

2

Dense families of continuous selections

57%

Michael E.

Fundamenta Mathematicae

|

1959

|

tom 47

|

nr 2

173-178

3

Continuous selections and countable sets

57%

Michael E.

Fundamenta Mathematicae

|

1981

|

tom 111

|

nr 1

1-10

4

Continuous selections in Banach spaces

46%

Michael E.

Studia Mathematica

|

1963

|

tom Special Series

|

nr 1

75-76

Ograniczanie wyników

2 Fundamenta Mathematicae

1 Studia Mathematica

4 Michael E.

1 Olson R. C.

1 Siwiec F.

1 1981

1 1976

1 1963

1 1959

A-spaces and countably bi-quotient maps

Dense families of continuous selections

Continuous selections and countable sets

Continuous selections in Banach spaces