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The generalized Pontrjagin cohomology operations and rings with divided powers

About this Title

Emery Thomas

Publication: Memoirs of the American Mathematical Society
Publication Year 1957: Number 27
ISBNs: 978-0-8218-1227-3 (print); 978-0-8218-9969-4 (online)
MathSciNet review: 0099029

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Table of Contents


  • Introduction
  • 1. The main theorems
  • 2. The model operations, $P_t$ ($t = 0, 1, \dots $)
  • 3. The definition of the operations $\mathfrak {p}_t$
  • 4. The proof of the main theorems
  • 5. Definition of the model operations $P_p$ ($p$ prime)
  • 6. Remarks on cup-products
  • 7. The case of dimension $\overline {u}$ odd
  • 8. The definition of the operations $P_r$
  • 9. The operation $P_p$ on a sum
  • 10. Proof of Theorem 2.1(i), (ii), and (iii)
  • 11. Proof of Theorem 2.1(iv)
  • 12. Proof of Theorem 2.1(v), (vi), and (vii)
  • 13. Proof of Theorems 2.2 and 2.3
  • Appendix: Computation of the operations $\mathfrak {p}_t$
American Mathematical Society