Characterization of spaces admitting a homotopy dense embedding into a Hilbert manifold

✍ Scribed by Taras Banakh

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 623 KB
• Volume: 86
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(97)00117-x

✦ Synopsis

We characterize spaces admitting a homotopy dense embedding (= embedding with locally homotopy negligible complement) into a Hilbert manifold. A finite-dimensional counterpart of this characterization is also considered.