Nonseparating almost continuous retracts of 𝐼ⁿ

Rosen, Harvey

doi:10.1090/S0002-9939-1984-0735577-0

Nonseparating almost continuous retracts of $I^{n}$
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Proc. Amer. Math. Soc. 91 (1984), 118-122 Request permission

Abstract:

Compact almost continuous retracts of ${I^n}(n \geqslant 2)$ do not separate ${E^n}$. Some other results that hold for continuous functions are also shown to hold for almost continuous functions. A result in [5] giving sufficient conditions for a set to be an almost continuous retract of ${I^n}$ is examined further, and a method of constructing some almost continuous retracts of ${I^n}$ is given.

References

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