| 查看: 131 | 回复: 0 | |||
| 当前主题已经存档。 | |||
[交流]
【转贴】Selected topics in infinite-dimensional topology
|
|||
|
Selected topics in infinite-dimensional topology (Monografie matematyczne) Publisher: PWN-Polish Scientific Publishers Number Of Pages: 353 Publication Date: 1975 Sales Rank: ISBN / ASIN: B0006CQO8O EAN: Binding: Unknown Binding Manufacturer: PWN-Polish Scientific Publishers Studio: PWN-Polish Scientific Publishers Preface(Snippets): This book is an attempt to give a systematic presentation of results and methods (established mostly in the last ten years) which concern the topology of infinite-dimensional spaces appearing in functional analysis and admitting a local linear structure. Selecting the material we have restricted ourselves to studying and classifying the topological structure of the objects ignoring richer structures (like differentiable structure, Fredholm structure, etc.) and leaving aside any discussion of morphisms between the objects. The permanent rapid progress of the theory resulted that despite our intention we were unable to discuss very recent important results, and ingenous techniques based on sophisticated tological apparatus. In particular we have not presented J. West's theorems on factors of the Hilbert cube based on his interior approximation technique, T. A. Chapman's theory of Hilbert cube manifolds, relationship between Borsuk's shape and Z-sets discovered by Chapman, the Schori-West theorem stating that the space of closed subsets of the segment [0;1] is homeomorphic to the Hilbert cube. We have also omitted the discussion of homotopy types of general linear groups of Banach spaces. The fundamental results presented in this book are: Theorem of Keller [1931] stating that every infinite-dimensional compact convex subset of the Hilbert space is homeomorphic to the Hilbert cube. Theorem of Kadee and Anderson (1965-1966} on topological equivalence of infinite-dimensional separable Frechet spaces; Theorem of Henderson (1969) stating that (under certain assumption on the model) the homotopy equivalence between infinite-dimensional manifolds implies their homeomorphisms. Proofs of the results presented in this book combine techniques of functional analysis, especially of geometry of Banach spaces and convexity theory, with various topological methods.Password: gigapedia.org Type: PDF Size: 10.09 MB MD5: 2bc288708400f356d035381b686f008e http://rapidshare.com/files/41655449/B0006CQO8O.zip.html http://mihd.net/s4fjeq [ Last edited by laizuliang on 2007-10-31 at 16:29 ] |
回复此楼» 猜你喜欢
研究生做的很差，你们会让毕业吗？
已经有9人回复
-
求碳排放博导；方向是LCA、生命周期可持续发展以及碳排放
已经有7人回复
-
2026博士申请求助
已经有4人回复
-
2026博士或科研助理转27年博士
已经有7人回复
-
急招2026年9月份入学博士
已经有3人回复
-
26申博
已经有3人回复
-
申博自荐
已经有7人回复
-
26年博士申请自荐-电催化
已经有7人回复
-
2026年博士申请求捞
已经有3人回复
-
国自科送审了吗
已经有11人回复