Transversality in generalized manifolds

✍ Scribed by J.L. Bryant

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 70 KB
• Volume: 94
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(98)00021-2

✦ Synopsis

Suppose that X is a generalized n-manifold, n 5, satisfying the disjoint disks property, and M and Q are topological m-and q-manifolds, respectively, 1-LCC embedded in X, with nm 3 and nq 3. We define what it means for M to be stably transverse to Q in X. In the metastable range, 3m 2(n -1) and 3(m + q) < 4(n -1), we show that there is an arbitrarily small homotopy of M to a 1-LCC embedding that is stably transverse to Q.