Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Steenrod $\mathbb{L}$-homology, generalized manifolds, and surgery   The aim of this paper is to show the importance of the Steenrod construction
of homology theories for the disassembly process in surgery on a generalized
$n$-manifold $X^n$, in order to produce an element of generalized homology
theory, which is basic for calculations. In particular, we show how to
construct an element of the $n$-th Steenrod homology group $H^{st}_{n} (X^{n},
\mathbb{L}^+),$ where $\mathbb{L}^+$ is the connected covering spectrum of the
periodic surgery spectrum $\mathbb{L}$, avoiding the use of the geometric
splitting procedure, which is standardly used in surgery on topological
manifolds.

23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
19
The categories of this paper are: eess