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Borsuk shape and a generalization of Grothendieck's definition of pro-category

Published online by Cambridge University Press:  24 October 2008

Aristide Deleanu  and
Peter Hilton
Aristide Deleanu
Affiliation:
Syracuse University, Syracuse, New York
Peter Hilton
Affiliation:
Battelle Seattle Research Center, Seattle, Washington and Case Western Reserve University, Cleveland, Ohio
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Extract

Following LeVan (6), we were led in (3) to investigate a purely categorical formulation of shape theory, which had hitherto been confined to certain rather circumscribed areas of topology. However, several authors (6, 7, 8, 9, 10, 11) had noted that, within this topological context, shape theory could be related to the process of expressing objects of the larger category T as filtered limits of objects of the given full subcategory P.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 79 , Issue 3 , May 1976 , pp. 473 - 482
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

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