Sinossi
The book is the second part of an intended three-volume treatise on semialgebraic topology over an arbitrary real closed field R. In the first volume (LNM 1173) the category LSA(R) or regular paracompact locally semialgebraic spaces over R was studied. The category WSA(R) of weakly semialgebraic spaces over R - the focus of this new volume - contains LSA(R) as a full subcategory. The book provides ample evidence that WSA(R) is "the" right cadre to understand homotopy and homology of semialgebraic sets, while LSA(R) seems to be more natural and beautiful from a geometric angle. The semialgebraic sets appear in LSA(R) and WSA(R) as the full subcategory SA(R) of affine semialgebraic spaces. The theory is new although it borrows from algebraic topology. A highlight is the proof that every generalized topological (co)homology theory has a counterpart in WSA(R) with in some sense "the same", or even better, properties as the topological theory. Thus we may speak of ordinary (=singular) homology groups, orthogonal, unitary or symplectic K-groups, and various sorts of cobordism groups of a semialgebraic set over R. If R is not archimedean then it seems difficult to develop a satisfactory theory of these groups within the category of semialgebraic sets over R: with weakly semialgebraic spaces this becomes easy. It remains for us to interpret the elements of these groups in geometric terms: this is done here for ordinary (co)homology.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
Basic theory of weakly semialgebraic spaces.- Patch complexes, and homotopies again.- Homology and cohomology.- Simplicial spaces.
Product Description
Book by Knebusch Manfred
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Risultati della ricerca per Weakly Semialgebraic Spaces: 1367
Foto dell'editore
Weakly Semialgebraic Spaces (Lecture Notes in Mathematics)
Da: Midtown Scholar Bookstore, Harrisburg, PA, U.S.A.
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: Very Good. Standard-sized. Codice articolo mon0000016047
Compra usato
EUR 12,07
Spedizione EUR 5,16
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Weakly Semialgebraic Spaces (Lecture Notes in Mathematics)
Editore:
Springer, 1989
ISBN 10: 3540508155
ISBN 13: 9783540508151
Antico o usato
paperback
Copia autografata
Da: Powell's Bookstores Chicago, ABAA, Chicago, IL, U.S.A.
Valutazione del venditore 5 su 5 stelle
paperback. Condizione: Used-Very Good. 1989th Edition. Some shelf-wear. Codice articolo 1729131
Compra usato
EUR 20,39
Spedizione EUR 4,54
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Weakly Semialgebraic Spaces (Lecture Notes in Mathematics, 1367)
Da: Ria Christie Collections, Uxbridge, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: New. In. Codice articolo ria9783540508151_new
Compra nuovo
EUR 38,28
Spedizione EUR 13,85
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: Più di 20 disponibili
Immagini fornite dal venditore
Weakly Semialgebraic Spaces. Lecture notes in mathematics; Bd. 1367.
Da: Antiquariat Bookfarm, Löbnitz, Germania
Valutazione del venditore 5 su 5 stelle
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03519 3540508155 Sprache: Englisch Gewicht in Gramm: 1050. Codice articolo 2489432
Compra usato
EUR 12,20
Spedizione EUR 40,00
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: 1 disponibili
Immagini fornite dal venditore
Weakly Semialgebraic Spaces
Editore:
Springer Berlin Heidelberg Feb 1989, 1989
ISBN 10: 3540508155
ISBN 13: 9783540508151
Nuovo
Taschenbuch
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The book is the second part of an intended three-volume treatise on semialgebraic topology over an arbitrary real closed field R. In the first volume (LNM 1173) the category LSA(R) or regular paracompact locally semialgebraic spaces over R was studied. The category WSA(R) of weakly semialgebraic spaces over R - the focus of this new volume - contains LSA(R) as a full subcategory. The book provides ample evidence that WSA(R) is 'the' right cadre to understand homotopy and homology of semialgebraic sets, while LSA(R) seems to be more natural and beautiful from a geometric angle. The semialgebraic sets appear in LSA(R) and WSA(R) as the full subcategory SA(R) of affine semialgebraic spaces. The theory is new although it borrows from algebraic topology. A highlight is the proof that every generalized topological (co)homology theory has a counterpart in WSA(R) with in some sense 'the same', or even better, properties as the topological theory. Thus we may speak of ordinary (=singular) homology groups, orthogonal, unitary or symplectic K-groups, and various sorts of cobordism groups of a semialgebraic set over R. If R is not archimedean then it seems difficult to develop a satisfactory theory of these groups within the category of semialgebraic sets over R: with weakly semialgebraic spaces this becomes easy. It remains for us to interpret the elements of these groups in geometric terms: this is done here for ordinary (co)homology. 400 pp. Englisch. Codice articolo 9783540508151
Compra nuovo
EUR 37,40
Spedizione EUR 23,00
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: 2 disponibili
Foto dell'editore
Weakly Semialgebraic Spaces
Da: Books Puddle, New York, NY, U.S.A.
Valutazione del venditore 4 su 5 stelle
Condizione: New. pp. 400. Codice articolo 26536848
Compra nuovo
EUR 58,19
Spedizione EUR 3,43
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 4 disponibili
Foto dell'editore
Weakly Semialgebraic Spaces
Print on DemandDa: Majestic Books, Hounslow, Regno Unito
Valutazione del venditore 4 su 5 stelle
Condizione: New. Print on Demand pp. 400 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Codice articolo 8359631
Compra nuovo
EUR 55,62
Spedizione EUR 7,51
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 4 disponibili
Foto dell'editore
Weakly Semialgebraic Spaces
Print on DemandDa: Biblios, Frankfurt am main, HESSE, Germania
Valutazione del venditore 4 su 5 stelle
Condizione: New. PRINT ON DEMAND pp. 400. Codice articolo 18536858
Compra nuovo
EUR 55,99
Spedizione EUR 9,95
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: 4 disponibili
Immagini fornite dal venditore
Weakly Semialgebraic Spaces
Print on DemandDa: moluna, Greven, Germania
Valutazione del venditore 5 su 5 stelle
Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The book is the second part of an intended three-volume treatise on semialgebraic topology over an arbitrary real closed field R. In the first volume (LNM 1173) the category LSA(R) or regular paracompact locally semialgebraic spaces over R was studied. The . Codice articolo 4891728
Compra nuovo
EUR 35,17
Spedizione EUR 48,99
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: Più di 20 disponibili
Immagini fornite dal venditore
Weakly Semialgebraic Spaces
Editore:
Springer, Springer Vieweg Feb 1989, 1989
ISBN 10: 3540508155
ISBN 13: 9783540508151
Nuovo
Taschenbuch
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The book is the second part of an intended three-volume treatise on semialgebraic topology over an arbitrary real closed field R. In the first volume (LNM 1173) the category LSA(R) or regular paracompact locally semialgebraic spaces over R was studied. The category WSA(R) of weakly semialgebraic spaces over R - the focus of this new volume - contains LSA(R) as a full subcategory. The book provides ample evidence that WSA(R) is 'the' right cadre to understand homotopy and homology of semialgebraic sets, while LSA(R) seems to be more natural and beautiful from a geometric angle. The semialgebraic sets appear in LSA(R) and WSA(R) as the full subcategory SA(R) of affine semialgebraic spaces. The theory is new although it borrows from algebraic topology. A highlight is the proof that every generalized topological (co)homology theory has a counterpart in WSA(R) with in some sense 'the same', or even better, properties as the topological theory. Thus we may speak of ordinary (=singular) homology groups, orthogonal, unitary or symplectic K-groups, and various sorts of cobordism groups of a semialgebraic set over R. If R is not archimedean then it seems difficult to develop a satisfactory theory of these groups within the category of semialgebraic sets over R: with weakly semialgebraic spaces this becomes easy. It remains for us to interpret the elements of these groups in geometric terms: this is done here for ordinary (co)homology.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 400 pp. Englisch. Codice articolo 9783540508151
Compra nuovo
EUR 37,40
Spedizione EUR 60,00
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: 1 disponibili