Groups of Homotopy Spheres I
Groups of Homotopy Spheres I
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1-Q b93- 6 9Cf M M :, . :- -~^a . Bo. Jo'' ■■->■- . ;[ r. X') i .
O CI (. Fix !-• . J i-Vi**' JXiO .. M M •'^^) where ^ Imbeds S^ x D^'''-'- In M, and let M = M- (interior ^ (S^xD^"^^)) . O Then there Is a commutative diagram \+l^ • A' ^k+l^ -^— > Z — S-^ H, M k o \ ^\ V -^^— >Hj^M -> such that the horizontal and vertical sequences are exact. It follows that the quotient group H, M/A ( Z ) Is isomorphic to k^ h, m7a'(z) Here the following notations are to be understood. The symbol A ...denotes the element of H, M which corresponds to the homotopy class (t)|S XO, and A also denotes the homomorphism •; i3.
, . Rt . Vn--— . -^r- ^, ■ H, M which carries 1 Into A. On the other hand -A : H, ,M — >• Z K k+1 denotes the homomorphism which carries each p. E H, ,M Into the intersection number |j, 'A. The symbols A' and -a' are to be interpreted similarly. The element A ^H, M' corresponds to the homotopy class ([) ' | x S where denotes the canonical imbedding.
What to read after Groups of Homotopy Spheres I?
You can find similar books in the "Read Also" column, or choose other free books by M a Michel a Kervaire to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
1-Q b93- 6 9Cf M M :, . :- -~^a . Bo. Jo'' ■■->■- . ;[ r. X') i .
O CI (. Fix !-• . J i-Vi**' JXiO .. M M •'^
, . Rt . Vn--— . -^r- ^, ■ H, M which carries 1 Into A. On the other hand -A : H, ,M — >• Z K k+1 denotes the homomorphism which carries each p. E H, ,M Into the intersection number |j, 'A. The symbols A' and -a' are to be interpreted similarly. The element A ^H, M' corresponds to the homotopy class ([) ' | x S where denotes the canonical imbedding.
What to read after Groups of Homotopy Spheres I?
You can find similar books in the "Read Also" column, or choose other free books by M a Michel a Kervaire to read onlineMoreLess
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