𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Distances between normed spaces, their subspaces and quotient spaces

✍ Scribed by J. Bourgain; V. D. Milman


Publisher
SP Birkhäuser Verlag Basel
Year
1986
Tongue
English
Weight
548 KB
Volume
9
Category
Article
ISSN
0378-620X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Free topological groups of spaces and th
✍ Ol'ga V. Sipacheva 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 266 KB

We prove that if X is a Tychonoff topological space, Y a subspace of X, and every bounded continuous pseudometric on Y can be extended to a continuous pseudometric on X, then the free topological group F M (Y ) coincides with the topological subgroup of F M (X) generated by Y . For this purpose, a n