describe the shape group
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may be circular. ..
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Typing 'Shape Group' into the search field of MathSciNet yields numerous paper on the subject. For instance:
Brazas, Jeremy(1-GAS-MS); Fabel, Paul(1-MSS) Thick Spanier groups and the first shape group. Rocky Mountain J. Math. 44 (2014), no. 5, 1415–1444. 55Q05 (55Q07 57M05)
Fischer, Hanspeter(1-BLS); Zastrow, Andreas(PL-GDAN) Generalized universal covering spaces and the shape group. Fund. Math. 197 (2007), 167–196.
And here is the first paper (chronologically) on MathSciNet which has the term 'shape group' in the title.
Sanders, Thomas J. Shape groups for Hausdorff spaces. Glasnik Mat. Ser. III 8(28) (1973), 297–304. (Reviewer: S. Mardesic
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