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math.AT2016
Relationship among various Vietoris-type and microsimplicial homology theories
Takuma Imamura
In this paper, we clarify the relationship among the Vietoris-type homology theories and the microsimplicial homology theories, where the latter are nonstandard homology theories d…
math.AT2016★ 2 cited
Nonstandard homology theory for uniform spaces
Takuma Imamura
We introduce a new homology theory of uniform spaces, provisionally called -homology theory. Our homology theory is based on hyperfinite chains of microsimplices. This idea is d…