Contractible open 3-manifolds which are not covering spaces
نویسندگان
چکیده
منابع مشابه
Contractible Open 3-manifolds with Free Covering Translation Groups
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 free group. It follows that such a 3-manifold cannot cover a closed 3-manifold. For each countable f...
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We will say that a 3-manifold is almost compact if it can be obtained from a compact manifold N by removing a closed subset of dN. Then Theorem 1 is equivalent to the assertion that the universal covering of M is almost compact. A natural way to attempt to generalize Theorem 1 is to show that other coverings of M are almost compact. It was conjectured by Simon [Si] that if M is any compact P-ir...
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ژورنال
عنوان ژورنال: Topology
سال: 1988
ISSN: 0040-9383
DOI: 10.1016/0040-9383(88)90005-5