Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phantom elements and its Applications   In our previous work, a relation between Tsukiyama problem about self
homotopy equivalence was found by using a generalization of phantom map. In
this note, fundamental result is established for such a generalization. This is
the first time one can deal with phantom maps to space not satisfying finite
type condition. Application to Forgetful map is also discussed briefly.

8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int