Franz-Viktor Kuhlmann's

Book on Valuation Theory (in preparation)


On this website you will find in the next future VERY preliminary versions of several chapters of my book on Valuation Theory. Warning: in some files, the first pages are (almost) blank. Please keep in mind that these versions are not final and subject to frequent change. In particular, the page numbering, numbering of theorems, sections and even of the chapters is not at all final. Further, these versions still contain a number of mistakes and typos. Any suggestions for improvement and questions on the contents are highly welcome; please send them by email to fvk@math.usask.ca.


Ultrametric spaces
(dvi file) --- (postscript file)

Valued abelian groups
(dvi file) --- (postscript file)

Valued modules and vector spaces
(dvi file) --- (postscript file)

Polynomials over valued fields
(dvi file) --- (postscript file)

Valued field extensions
(dvi file) --- (postscript file)

Ramification theory
(dvi file) --- (postscript file)

Immediate extensions
(dvi file) --- (postscript file)

Defect
(dvi file) --- (postscript file)

Hensel's Lemma
(dvi file) --- (postscript file)

Additive polynomials
(dvi file) --- (postscript file)

The tame and the wild valuation theory
(dvi file) --- (postscript file)

Model theory of valued fields
(dvi file) --- (postscript file)


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Last update: November 15, 2004