Connected projections of blocking sets of 𝐼ⁿ×𝑀

Rosen, Harvey

doi:10.1090/S0002-9939-1980-0565366-8

Connected projections of blocking sets of $I^{n}\times M$
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Proc. Amer. Math. Soc. 79 (1980), 335-337 Request permission

Abstract:

Sufficient conditions are given for each minimal blocking set K of ${I^n} \times M$ to have the closure of its projection, $p(K)$, into ${I^n}$ connected. The construction of some examples of almost continuous functions $f:{I^n} \to M$ in the literature depends on knowing each $\overline {p(K)}$ is connected or perfect.

References

Almost continuous functions

Blocking sets for almost continuous functions

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