A SURGERY REPRESENTATION OF 3-DIMENSIONAL HOMOLOGY SPHERES
A SURGERY REPRESENTATION OF 3 DIMENSIONAL HOMOLOGY SPHERES
摘要
ＡＳＵＲＧＥＲＹＲＥＰＲＥＳＥＮＴＡＴＩＯＮＯＦ３┐ＤＩＭＥＮＳＩＯＮＡＬＨＯＭＯＬＯＧＹＳＰＨＥＲＥＳ＊＊ＺＨＯＵＱＩＮＧ＊ＡｂｓｔｒａｃｔＭａｎｕｓｃｒｉｐｔｒｅｃｅｉｖｅｄＡｕｇｕｓｔ２３，１９９５．＊ＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃ...
It is proved that for any 3 dimensional homology sphere M, there is a sequence of homology spheres M 0, M 1,…, M s such that M 0=S 3, M s=M and each M i is a result of ±1 surgery of M i-1 along a knot.
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