The enclosing of cells in three space by simple closed surfaces

Autor:	H. C. Griffith
Rok vydání:	1956
Předmět:	Pure mathematics Property (philosophy) Applied Mathematics General Mathematics Mathematical analysis Extension (predicate logic) Space (mathematics) Jordan curve theorem Arc (geometry) symbols.namesake Simple (abstract algebra) symbols Complement (set theory) Mathematics
Zdroj:	Transactions of the American Mathematical Society. 81:25-48
ISSN:	1088-6850 0002-9947
DOI:	10.1090/s0002-9947-1956-0077111-4
Popis:	arc or simple closed curve in R3 with a certain property 1' (defined below) has a complement which is homeomorphic to the complement of its prototype, an evident necessary condition for being tame. In this paper an extension of the definition of property 'P to k-cells in RI, k = 1, 2, or 3, is made, and an extension of the result of Harrold to k-cells is made at the cost of imposing an extra condition which is always fulfilled when k = 1. The techniques used are those of Harrold, and depend strongly on the results of Alexander [1]. Much use is made of the concept of a semi-linear
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a036f832a2c8daf9ed37b740c7816a64 https://doi.org/10.1090/s0002-9947-1956-0077111-4 Zobrazit plný text záznamu