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    ORDER
    2002
    74views more  ORDER 2002»
    Lines, Trees, and Branch Spaces
    13 years 11 months ago
    Lines, Trees, and Branch Spaces
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    : 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...
    Harold Bennett, David Lutzer, Mary Ellen Rudin
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    ACS
    2004
    90views Distributed And Parallel Com...» more  ACS 2004»
    On Hereditary Coreflective Subcategories of Top
    13 years 11 months ago
    On Hereditary Coreflective Subcategories of Top
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    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...
    Martin Sleziak
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    ACS
    2004
    98views Distributed And Parallel Com...» more  ACS 2004»
    Components of the Fundamental Category
    13 years 11 months ago
    Components of the Fundamental Category
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    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 ...
    Lisbeth Fajstrup, Martin Raußen, Eric Goubau...
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    ACS
    2004
    101views Distributed And Parallel Com...» more  ACS 2004»
    One Setting for All: Metric, Topology, Uniformity, Approach Structure
    13 years 11 months ago
    One Setting for All: Metric, Topology, Uniformity, Approach Structure
    Download  www.math.yorku.ca
    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...
    Maria Manuel Clementino, Dirk Hofmann, Walter Thol...
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    APAL
    2005
    125views more  APAL 2005»
    Dynamic topological logic
    13 years 11 months ago
    Dynamic topological logic
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    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...
    Philip Kremer, Grigori Mints
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    MLQ
    2008
    63views more  MLQ 2008»
    Generic cuts in models of arithmetic
    13 years 11 months ago
    Generic cuts in models of arithmetic
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    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...
    Richard Kaye
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    JCT
    2008
    87views more  JCT 2008»
    End spaces of graphs are normal
    13 years 11 months ago
    End spaces of graphs are normal
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    We show that the topological space of any infinite graph and its ends is normal. In particular, end spaces themselves are normal.
    Philipp Sprüssel
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    AML
    2006
    87views more  AML 2006»
    The modal logic of continuous functions on cantor space
    13 years 11 months ago
    The modal logic of continuous functions on cantor space
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    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'...
    Philip Kremer
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    APAL
    2007
    111views more  APAL 2007»
    A coverage construction of the reals and the irrationals
    13 years 11 months ago
    A coverage construction of the reals and the irrationals
    Download  www.cs.man.ac.uk
    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...
    Harold Simmons
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    LICS
    2007
    IEEE
    101views Automated Reasoning» more  LICS 2007»
    On Noetherian Spaces
    14 years 5 months ago
    On Noetherian Spaces
    Download  www.lsv.ens-cachan.fr
    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...
    Jean Goubault-Larrecq
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