Spaces of lower semicontinuous set-valued maps II

Year, pages: 2010, 541 - 570

This is a continuation of ``Spaces of lower semicontinuous set-valued maps I". Together, these two parts contain two interrelated main theorems. In the previous part I, the Extension Theorem is proved, which says that for binormal spaces $X$ and $Y$, every bimonotone homeomorphism between $C(X)$ and $C(Y)$ can be extended to an ordered homeomorphism between $L^-(X)$ and $L^-(Y)$. In this part II, the Factorization Theorem is proved, which says that for binormal spaces $X$ and $Y$, every ordered homeomorphism between $L^-(X)$ and $L^-(Y)$ can be characterized by a unique factorization.

Mccoy, R. 2010. Spaces of lower semicontinuous set-valued maps II. In Mathematica Slovaca, vol. 60, no.4, pp. 541-570. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0031-9

Mccoy, R. (2010). Spaces of lower semicontinuous set-valued maps II. Mathematica Slovaca, 60(4), 541-570. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0031-9