Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal Abelian H-spaces   The question of the existence of Universal homotopy commutative and homotopy
associative H-spaces (called Abelian H-spaces) is studied. Such a space T(X)
would prolong a map from X into an Abelian H-space to a unique H-map from T
into X. Examples of such pairs (X,T) are given and conditions are discussed
which limit the possible spaces X for which such a T can exist. The Anick
spaces are shown not to be universal Abelian H-spaces for the corresponding
Moore spaces, but conditions are discussed which could lead to a universal
property with respect to a more limited range of targets.

8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas