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On Archimedean Decompositions of Linearly Ordered Fields
On Archimedean Decompositions Linearly Ordered Fields
2010/11/22
In 1907, Hans Hahn proved the remarkable fact that any ordered group can be embedded in an ordered real function space. This set the stage for work on ordered groups and fields, and this area receive...
Decompositions of looped co-H-spaces and applications
Decompositions of looped co-H-spaces and applications
2010/11/11
We prove two homotopy decomposition theorems for the loops on co-H-spaces, including a generalization of the Hilton-Milnor Theorem. These are applied to problems arising in algebra, representation the...
Our goal is to show, in two different contexts, that "random" surfaces have large pants decompositions. First we show that there are hyperbolic surfaces of genus $g$ for which any pants decomposition...