smooth embeddings of 2-spheres in manifolds
Pages: 227-232
Year: 1990 Issue: 2
Journal: Journal of Mathematical Research and Exposition
Abstract: <正>Ⅰ. Introduction Let g be the standard generator of H2（CP2;Z） and h the standard generat or of H2（-CP;Z）. It is well known that pg+qh∈H2（CP2#（-CP2）;Z） can be represented by a smoothly embedded 2-sphere provided |p|,|q|≤2 or ||p|-|q| ≤1, where g and h are the images of the standard generators in H2（CP2# （-CP2）;Z）, In this paper we consider the connected sum of CP2 and several （-Cp2）＇s.
Year: 1990 Issue: 2
Journal: Journal of Mathematical Research and Exposition
Abstract: <正>Ⅰ. Introduction Let g be the standard generator of H2（CP2;Z） and h the standard generat or of H2（-CP;Z）. It is well known that pg+qh∈H2（CP2#（-CP2）;Z） can be represented by a smoothly embedded 2-sphere provided |p|,|q|≤2 or ||p|-|q| ≤1, where g and h are the images of the standard generators in H2（CP2# （-CP2）;Z）, In this paper we consider the connected sum of CP2 and several （-Cp2）＇s.
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