1.

Record Nr.

UNINA9910828762603321

Autore

Mandelkern Mark <1933->

Titolo

Constructive continuity / / Mark Mandelkern

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1983]

©1983

ISBN

1-4704-0687-X

Descrizione fisica

1 online resource (126 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 277

Disciplina

510 s

515.7

Soggetti

Functions, Continuous

Constructive mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes indexes.

Nota di bibliografia

Bibliography: pages 111-112.

Nota di contenuto

""CONTENTS""; ""ABSTRACT""; ""1. PROBLEMS, METHODS, AND MAIN RESULTS""; ""PART I. PRELIMINARIES""; ""2. Brouwerian Counterexamples""; ""3. Real Numbers""; ""4. Infima and Suprema""; ""5. Metric Spaces""; ""PART II. RELIEFS AND CONTINUOUS FUNCTIONS""; ""6. Reliefs""; ""7. Continuity""; ""8. Intermediate Values""; ""9. Bounds and Extremes""; ""10. Connectivity and Convexity""; ""11. Located Sets""; ""PART III. MONOTONE FUNCTIONS""; ""12. Monotonicity""; ""13. Monotonicity and Continuity""; ""PART IV. RELIEF FUNCTIONS AND THE LIMITED CONTINUITY PRINCIPLE""; ""14. Relief Functions""

""15. Existence of Relief Functions""""16. The Limited Continuity Principle""; ""REFERENCES""; ""INDEX OF SYMBOLS""; ""INDEX OF TERMS""