Book Cover
E-book
Author Ursell, H. D., author

Title Remarks on the theory of prime ends / by H.D. Ursell and L.C. Young
Published Providence : American Mathematical Society, 1951

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Description 1 online resource (33 pages) : illustrations
Series Memoirs of the American Mathematical Society ; number 3
Memoirs of the American Mathematical Society ; no. 3.
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
Bibliography Includes bibliographical references
Notes English
Print version record
Subject Topology.
Topology
Form Electronic book
Author Young, L. C. (Laurence Chisholm), 1905-2000, author.
ISBN 9780821899724
0821899724