Remarks on the theory of prime ends / H.D. Ursell, L.C. Young.

Format:

Book

Author/Creator:

Ursell, H. D., author.

Young, L. C. (Laurence Chisholm), 1905-2000, author.

Series:

Memoirs of the American Mathematical Society ; 3.

Memoirs of the American Mathematical Society ; number 3

Language:

English

Subjects (All):

Topology.

Physical Description:

1 online resource (33 pages) : illustrations

Place of Publication:

Providence : American Mathematical Society, 1951.

Language Note:

English

Contents:

1. INTRODUCTION(A) THE STRUCTURE OF A PRIME END 2. Summary 3. Illustration of the theory 4. Carathéodory's theory 5. Separation theorems 6. The two sides of a path 7. Proof of (2.1) 8. Two paths on opposite sides of a third 9. Distinction between right and left side 10. The two halves of a prime end and the proof of (2.4) (B) FURTHER PROPERTIES OF THE WINGS 11. Summary and illustrations 12. Some subsiduary results and definitions 13. Preliminary reduction of (11.1) 14. Reduction of (11.1) to (11.2 )""15. A remark on circular cross-cuts"" ""16. Preliminary reduction of (11.2)""; ""17. Construction of an alternating chain of cross-cuts""; ""18. Completion of the proof of (11.2) and (11.1)""; ""19. Proof of (11.3)""; ""(C) LINKS""; ""20. Summary""; ""21. Proof of (20.2)""; ""22. Rational cross-cuts""; ""23. Proof of (20.1)""; ""APPENDIX I""; ""APPENDIX II""

Notes:

Cover title.

Description based on print version record.

Includes bibliographical references.

ISBN:

0-8218-9972-4