6 citations · 18 across the 17 of their papers we have counts for
18 papers
Filling the gaps in an unpublished example of Nyikos: a countably compact non-compact manifold under
Mathieu Baillif
We provide details for a Theorem which is only available on a unfinished preliminary draft of P. Nyikos: the existence under of a hereditarily collectionwise normal c…
Non-metrizable manifolds and contractibility
Mathieu Baillif
We investigate whether non-metrizable manifolds in various classes can be homotopy equivalent to a CW-complex (in short: heCWc), and in particular contractible. We show that a non-…
Eventually Constant and stagnating functions in non-Lindelöf spaces
Mathieu Baillif
We elaborate on the elementary fact that for any continuous function , there is an such that $f(\langleβ,x\rangle) = f(\langleα,x\rang…
Relative (functionally) Type I spaces and narrow subspaces
Mathieu Baillif
An open chain cover ( a cardinal) of a space is a systematic cover if the closure of is contained in when , and is Type I if an…
Three small results on normal first countable linearly H-closed spaces
Mathieu Baillif
We use topological consequences of PFA, MA(S)[S] and PFA(S)[S] proved by other authors to show that normal first countable linearly H-closed spaces with various additionals…
Collared and non-collared manifold boundaries
Mathieu Baillif
We gather in this note results and examples about collared or non-collared boundaries of non-metrisable manifolds. Almost everything is well known but a bit scattered in the litera…