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Filtering by: Funding statement The authors were supported in part by the Slovenian Research Agency grants P1-0292-0101, J1-2057-0101 and BI-US/11-12-023. The first author was also supported in part by National Science Foundation grants DMS 0852030 and DMS 1005906. Remove constraint Funding statement: The authors were supported in part by the Slovenian Research Agency grants P1-0292-0101, J1-2057-0101 and BI-US/11-12-023. The first author was also supported in part by National Science Foundation grants DMS 0852030 and DMS 1005906.

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  • Homogeneity groups of ends of open 3-manifolds

    Creator:
    Garity, Dennis J. and Repovš, Dušan
    Abstract:
    For every finitely generated abelian group G, we construct an irreducible open 3-manifold M[subscript G] whose end set is homeomorphic to a Cantor set and whose homogeneity group is isomorphic to G. The end homogeneity group is the group of self-homeomorphisms of the end set that extend to homeomorphisms of...
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    grant BI-US/11-12-023 and BI-US/13-14-027. Repovš was supported in part by Slovenian Research Agency

  • Inequivalent Cantor sets in 𝑅³ whose complements have the same fundamental group

    Creator:
    Garity, Dennis J. and Repovš, Dušan
    Abstract:
    For each Cantor set C in R³, all points of which have bounded local genus, we show that there are infinitely many inequivalent Cantor sets in R³ with the complement having the same fundamental group as the complement of C. This answers a question from Open Problems in Topology and...
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    -2057-0101 and BI-US/11-12-023. The first author was also supported in part by National Science

  • State of the Climate in 2012

    Creator:
    Blunden, Jessica and Arndt, Derek S.
    Abstract:
    For the first time in several years, the El Niño-Southern Oscillation did not dominate regional climate conditions around the globe. A weak La Niña dissipated to ENSOneutral conditions by spring, and while El Niño appeared to be emerging during summer, this phase never fully developed as sea surface temperatures in...
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    , Santa Rosa, CA Meier, W., National Snow and Ice Data Center, Cooperative Institute for Research in

  • Simply connected open 3-manifolds with rigid genus one ends

    Creator:
    Garity, Dennis, Repovš, Dušan, and Wright, David
    Abstract:
    We construct uncountably many simply connected open 3-manifolds with genus one ends homeomorphic to the Cantor set. Each constructed manifold has the property that any self homeomorphism of the manifold (which necessarily extends to a homeomorphism of the ends) fixes the ends pointwise. These manifolds are complements of rigid generalized...
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    Agency grant BI-US/11-12- 023. The first and third authors were supported in part by the National