ORDER
2002
13 years 10 months ago
2002
: In this paper we examine the interactions between the topology of certain linearly ordered topological spaces (LOTS) and the properties of trees in whose branch spaces they embed...
ACS
2004
13 years 10 months ago
2004
Let A be a topological space which is not finitely generated and CH(A) denote the coreflective hull of A in Top. We construct a generator of the coreflective subcategory SCH(A) con...
ACS
2004
13 years 10 months ago
2004
Inthis article westudy the fundamental category (Goubault and Raussen, 2002 Goubault, 2002) of a partially ordered topological space (Nachbin, 1965 Johnstone, 1982), as arising in ...
ACS
2004
13 years 10 months ago
2004
For a complete lattice V which, as a category, is monoidal closed, and for a suitable Setmonad T we consider (T, V)-algebras and introduce (T, V)-proalgebras, in generalization of...
APAL
2005
13 years 10 months ago
2005
Dynamic Topological Logic provides a context for studying the confluence of the topological semantics for S4, based on topological spaces rather than Kripke frames; topological dy...
MLQ
2008
13 years 10 months ago
2008
We present some general results concerning the topological space of cuts of a countable model of arithmetic given by a particular indicator Y . The notion of `indicator' is d...
JCT
2008
13 years 10 months ago
2008
We show that the topological space of any infinite graph and its ends is normal. In particular, end spaces themselves are normal.
AML
2006
13 years 11 months ago
2006
Abstract Let L be a propositional language with standard Boolean connectives plus two modalities: an S4-ish topological modality and a temporal modality , understood as `next'...
APAL
2007
13 years 11 months ago
2007
I modify the standard coverage construction of the reals to obtain the irrationals. However, this causes a jump in ordinal complexity from ω + 1 to Ω. The coverage technique ha...
LICS
2007
IEEE
14 years 5 months ago
2007
IEEE
A topological space is Noetherian iff every open is compact. Our starting point is that this notion generalizes that of well-quasi order, in the sense that an Alexandroff-discrete...