23287 Veli Rat, Dugi Otok, Croatia

*e-mail:* `nuglesic@unizd.hr`

**Abstract.** Given a category
C, a certain category
*pro**-C*pro*-C*pro**-C._{(C,
D)},*coarse shape category*
_{(C,
D)}*HTop**HPol**HANR*,*pro**-*HPol**pro**-*HANR**Grp**HTop*,*pro**-C*pro*-C.*coarse shape theory* for topological spaces makes
sense.

**2000 Mathematics Subject Classification.**
55P55, 18A32.

**Key words and phrases.** Topological space, compactum, polyhedron, ANR, category, homotopy,
shape, *S**-equivalence.

DOI: 10.3336/gm.42.1.12

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