Linear Spaces with Few Lines (Record no. 30706)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03090nam a22004575i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783540464440 |
| -- | 978-3-540-46444-0 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511.6 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Metsch, Klaus. |
| 245 10 - TITLE STATEMENT | |
| Title | Linear Spaces with Few Lines |
| Statement of responsibility, etc | by Klaus Metsch. |
| 260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Berlin, Heidelberg : |
| Name of publisher | Springer Berlin Heidelberg, |
| Year of publication | 1991. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIV, 202 p. |
| Other physical details | online resource. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes in Mathematics, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Definition and basic properties of linear spaces -- Lower bounds for the number of lines -- Basic properties and results of (n+1,1)-designs -- Points of degree n -- Linear spaces with few lines -- Embedding (n+1,1)-designs into projective planes -- An optimal bound for embedding linear spaces into projective planes -- The theorem of totten -- Linear spaces with n2+n+1 points -- A hypothetical structure -- Linear spaces with n2+n+2 lines -- Points of degree n and another characterization of the linear spaces L(n,d) -- The non-existence of certain (7,1)-designs and determination of A(5) and A(6) -- A result on graph theory with an application to linear spaces -- Linear spaces in which every long line meets only few lines -- s-fold inflated projective planes -- The Dowling Wilson Conjecture -- Uniqueness of embeddings. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | A famous theorem in the theory of linear spaces states that every finite linear space has at least as many lines as points. This result of De Bruijn and Erd|s led to the conjecture that every linear space with "few lines" canbe obtained from a projective plane by changing only a small part of itsstructure. Many results related to this conjecture have been proved in the last twenty years. This monograph surveys the subject and presents several new results, such as the recent proof of the Dowling-Wilsonconjecture. Typical methods used in combinatorics are developed so that the text can be understood without too much background. Thus the book will be of interest to anybody doing combinatorics and can also help other readers to learn the techniques used in this particular field. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Combinatorics. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Combinatorics. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/BFb0083245 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg, |
| -- | 1991. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 0075-8434 ; |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|
| IMSc Library | EBK1412 | http://dx.doi.org/10.1007/BFb0083245 | E-BOOKS |