✦ LIBER ✦
A lemma on extending functions into F -spaces and homomorphisms between Stone–Čech remainders
✍ Scribed by I. Protasov; J. Pym; D. Strauss
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 190 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
✦ Synopsis
This papers contains two main results. The first is a theorem about continuous functions from a countably compact Hausdorff space into a compact F -space, which has applications to the algebraic properties of the Stone-Čech compactification βS of a discrete semigroup S. The second main result shows that many continuous homomorphisms from S * to G * have to arise from homomorphisms mapping S to G, where S is a discrete semigroup and G is a discrete group and S * denotes βS \ S. The second result is related to the first because it uses it at a crucial point.