Ordering A Square
We identify a condition on X that guarantees that any finite power of X is homeomorphic to a subspace of a linearly ordered space
math.GN↗
arXiv subjects
Raushan Z. Buzyakova
Publications and source records attributed to Raushan Z. Buzyakova.
Injections into Function Spaces over Compacta
We study the topology of X given that Cp(X) injects into Cp(Y), where Y is compact. We first show that if Cp over a GO-space (="subspace of a lineraly ordered space") injects into Cp over a compactum, then the Dedekind remainder of the GO-space is hereditarily paracompact. Also, for each ordinal tau of uncountable cofinality, we construct a continuous bijection of Cp(tau, {0,1}) onto a subgroup of Cp(tau+1, {0,1}), which is in addition a group isomorphism.
math.GN↗