A Non Hausdorff Completion

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Download or read online A Non Hausdorff Completion PDF book by Saul Lubkin in ePUB, PDF or Kindle eBooks. Published by World Scientific Publishing Company in 28 May 2015 the book become immediate popular and critical acclaim in Mathematics books with total hardcover page 352. Click Download Book button to get book file. Read some info about this book below.

  • Author : Saul Lubkin
  • Publisher : World Scientific Publishing Company
  • Release : 28 May 2015
  • ISBN : 9789814667401
  • Page : 352 pages
  • Language : English
  • Total View : 4836 Views
  • File Size : 43,7 Mb

A Non Hausdorff Completion Book PDF summary

This book introduces entirely new invariants never considered before, in homological algebra and commutative (and even non-commutative) algebra. The C-completion C(M), and higher C-completions, Cn(M), are defined for an arbitrary left module M over a topological ring A. Spectral sequences are defined that use these invariants. Given a left module over a topological ring A, under mild conditions the usual Hausdorff completion: M^ can be recovered from the C-completion C(M), by taking the quotient module by the closure of {0}. The new invariants and tools in this book are expected to be used in the study of p-adic cohomology in algebraic geometry; and also in the study of p-adic Banach spaces — by replacing the cumbersome "complete tensor product" of p-adic Banach spaces, with the more sophisticated "C-complete tensor product", discussed in this book. It is also not unlikely that the further study of these new invariants may well develop into a new branch of abstract mathematics - connected with commutative algebra, homological algebra, and algebraic topology.

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