Contractible open manifolds which are not covering spaces
β Scribed by David G. Wright
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 818 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0040-9383
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π SIMILAR VOLUMES
This paper concerns the class of contractible open 3-manifolds which are "locally finite strong end sums" of eventually end-irreducible Whitehead manifolds. It is shown that whenever a 3-manifold in this class is a covering space of another 3-manifold the group of covering translations must be a fre
Using modifications of the well-known construction of "double-arrow" space we give consistent examples of nonfragmentable compact Hausdorff spaces which belong to Stegall's class S. Namely the following is proved. (1) If β΅ 1 is less than the least inaccessible cardinal in L and MA & Β¬CH hold then t
## McMillan has shown that every irreducible, contractible, open 3-manifold is the monotone union of handlebodies (only 0-and l-handles) and that there are uncountably many such manifolds. Work by Myers and Wright shows that no irreducible, contractible, open 3-manifold different from I@ can nontr