Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On L.S.-category of a family of rational elliptic spaces   Let X be a finite type simply connected rationally elliptic CW-complex with
Sullivan minimal model $(\Lambda V, d)$ and let $k \geq 2$ the biggest integer
such that $d=\sum \limits_{\underset{}{i\geq k}}d_i$ with $d_i(V) \subseteq
\Lambda^iV$.
  In \cite{murillo02} the authors showed that if $(\Lambda V,d_k)$ is morever
elliptic then $cat(\Lambda V,d)=(k-2)dimV^{even} + dimV^{odd}.$
  Our work focuses on the estimation of L.S.-category of such spaces in the
case when $k=3$ and when $(\Lambda V,d_3)$ is not necessarily elliptic.

29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics