Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory of Compact Hausdorff Shape   In this paper, we aim to establish a new shape theory, compact Hausdorff
shape (CH-shape) for general Hausdorff spaces. We use the "internal" method and
direct system approach on the homotopy category of compact Hausdorff spaces.
Such a construction can preserve most good properties of H-shape given by Rubin
and Sanders. Most importantly, we can moreover develop the entire homology
theory for CH-shape, including the exactness, dual to the consequence of
Marde\v{s}i\'c and Segal.

5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas