✦ LIBER ✦
A short elementary proof of the Dranishnikov—West theorem on stable intersection of compacta in Euclidean spaces
✍ Scribed by Yaki Sternfeld
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 64 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
✦ Synopsis
In Dranishnikov and West proved the following theorem.
T h e o r e m 1. Let X, Y be compacta with dim X x Y = n. Then X and Y have a stable intersection in R ~, i.e., there exist maps f E C(X,R'~), 9 E C ( Y , R n) and e > 0 such that if f' and 9' are e-close to f and 9 in the function spaces then f t ( X ) N 9'(Y) ¢ 0.