Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On two problems in extension theory   In this note we introduce the concept of a quasi-finite complex. Next, we
show that for a given countable and locally finite CW complex L the following
conditions are equivalent:
  (i) L is quasi-finite. (ii) There exists a [L]-invertible mapping of a
metrizable compactum X with e-dim X = [L] onto the Hilbert cube.
  Finally, we construct an example of a quasi-finite complex L such that its
extension type [L] does not contain a finitely dominated complex.

26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol