Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homotopy theory of Moore flows (I)   A reparametrization category is a small topologically enriched symmetric
semimonoidal category such that the semimonoidal structure induces a structure
of a commutative semigroup on objects, such that all spaces of maps are
contractible and such that each map can be decomposed (not necessarily in a
unique way) as a tensor product of two maps. A Moore flow is a small
semicategory enriched over the closed semimonoidal category of enriched
presheaves over a reparametrization category. We construct the q-model category
of Moore flows. It is proved that it is Quillen equivalent to the q-model
category of flows. This result is the first step to establish a zig-zag of
Quillen equivalences between the q-model structure of multipointed $d$-spaces
and the q-model structure of flows.

11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn