Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasiflats with holes in reductive groups   We give a new proof of a theorem of Kleiner-Leeb: that any
quasi-isometrically embedded Euclidean space in a product of symmetric spaces
and Euclidean buildings is contained in a metric neighborhood of finitely many
flats, as long as the rank of the Euclidean space is not less than the rank of
the target. A bound on the size of the neighborhood and on the number of flats
is determined by the size of the quasi-isometry constants.
  Without using asymptotic cones, our proof focuses on the intrinsic geometry
of symmetric spaces and Euclidean buildings by extending the proof of
Eskin-Farb's quasiflat with holes theorem for symmetric spaces with no
Euclidean factors.

37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th