1.

Record Nr.

UNINA9910811638703321

Autore

Schwartz Niels <1950->

Titolo

The basic theory of real closed spaces / / Niels Schwartz

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1989

©1989

ISBN

1-4704-0817-1

Descrizione fisica

1 online resource (134 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 77, Number 397

Disciplina

512/.33

Soggetti

Schemes (Algebraic geometry)

Commutative algebra

Ordered fields

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"January 1989, volume 77 number 397 (end of volume)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""CONTENTS""; ""INTRODUCTION""; ""CHAPTER I: REAL CLOSED RINGS""; ""1. Preliminaries on real spectra""; ""2. Definition of real closures""; ""3. Algebraic properties of real closures""; ""4. Real closed rings""; ""CHAPTER II: REAL CLOSED SPACES""; ""1. Definition of real closed spaces""; ""2. Subspaces""; ""3. Fibre products""; ""4. Quasi-compact, quasi-separated and separated morphisms""; ""5. Regular morphisms""; ""6. Universally closed morphisms""; ""7. Finiteness conditions""; ""CHAPTER III: SEMI-ALGEBRAIC SPACES""; ""1. Semi-algebraic spaces as real closed spaces""; ""2. Fibre products""

""3. Separatedness and regularity""""4. Universal closedness""; ""REFERENCES""