AN OPEN COLLAR-THEOREM FOR 4-MANIFOLDS

被引：6

作者：

GUILBAULT, CR ^{[1
]}

机构：

[1] UNIV TENNESSEE,DEPT MATH,KNOXVILLE,TN 37916

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 331卷 / 01期

关键词：

OPEN COLLAR; 4-MANIFOLD; WEAKLY FLAT; 1-ALG; WILD EMBEDDING; WEAK H-COBORDISM THEOREM;

D O I：

10.2307/2154006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M4 be an open 4-manifold with boundary. Conditions are given under which M4 is homeomorphic to partial derivative M x [0, 1). Applications include a 4-dimensional weak h-cobordism theorem and a classification of weakly flat embeddings of 2-spheres in S4. Specific examples of (n - 2)-spheres embedded in S(n) (including n = 4) are also discussed.

引用

页码：227 / 245

页数：19

共 34 条

[1]

ARTIN E, 1926, ABH MATH SEM U HAMBU, V0004, P00174

[2]

BING RH, 1968, 1967 C TOP MAN, P1

[3]

BING RH, 1961, T AM MATH SOC, V101, P292

[4]

BOYD WS, 1973, CAN J MATH, V25, P646, DOI 10.4153/CJM-1973-065-0

[5]

BROWN EM, 1974, T AM MATH SOC, V188, P105

[6]

BRYANT JL, 1980, Q J MATH OXFORD SER, V21, P265

[7]

CERNAVSKII AV, 1973, MATH USSR SB, V20, P297

[8] LOCALLY HOMOTOPICALLY UNKNOTTED EMBEDDINGS OF MANIFOLDS IN CODIMENSION 2 ARE LOCALLY FLAT [J].

CHAPMAN, TA .

TOPOLOGY, 1979, 18 (04) :339-348

[9]

Cohen M. M., 2012, COURSE SIMPLE HOMOTO, V11, DOI [10.1007/978-1-4684-9372-6, DOI 10.1007/978-1-4684-9372-6]

[10] LOCALLY NICE CODIMENSION ONE MANIFOLDS ARE LOCALLY FLAT [J].

DAVERMAN, RJ .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 79 (02) :410-413

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