Results 1 to 10 of about 35,551 (70)
Information Operators in Categorical Information Spaces
Information, 2010 The general theory of information (GTI) is a synthetic approach, which reveals the essence of information, organizing and encompassing all main directions in information theory.
Mark Burgin
doaj +1 more source
Mathematical Models of Abstract Systems: Knowing abstract geometric forms [PDF]
, 2013 Scientists use models to know the world. It i susually assumed that mathematicians doing pure mathematics do not. Mathematicians doing pure mathematics prove theorems about mathematical entities like sets, numbers, geometric figures, spaces, etc., they ...
Marquis, Jean-Pierre
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Orbit categories, classifying spaces, and generalized homotopy fixed points [PDF]
, 2017 We give a new description of Rosenthal's generalized homotopy fixed point spaces as homotopy limits over the orbit category. This is achieved using a simple categorical model for classifying spaces with respect to families of subgroups.Comment: 10 pages.
Ramras, Daniel A.
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2-Group Representations for Spin Foams [PDF]
, 2009 Just as 3d state sum models, including 3d quantum gravity, can be built using categories of group representations, "2-categories of 2-group representations" may provide interesting state sum models for 4d quantum topology, if not quantum gravity. Here we
Aristide Baratin +4 more
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Testing for Network and Spatial Autocorrelation
, 2020 Testing for dependence has been a well-established component of spatial statistical analyses for decades. In particular, several popular test statistics have desirable properties for testing for the presence of spatial autocorrelation in continuous ...
A Cliff +32 more
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A geometry of information, I: Nerves, posets and differential forms [PDF]
, 2005 The main theme of this workshop (Dagstuhl seminar 04351) is `Spatial Representation: Continuous vs. Discrete'. Spatial representation has two contrasting but interacting aspects (i) representation of spaces' and (ii) representation by spaces.
Gratus, Jonathan, Porter, Timothy
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The evolution of representation in simple cognitive networks [PDF]
, 2013 Representations are internal models of the environment that can provide guidance to a behaving agent, even in the absence of sensory information. It is not clear how representations are developed and whether or not they are necessary or even essential ...
Arend Hintze +20 more
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, 2018 Categorical foundations and set-theoretical foundations are sometimes presented as alternative foundational schemes. So far, the literature has mostly focused on the weaknesses of the categorical foundations.
Marquis, Jean-Pierre
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Some applications of the ultrapower theorem to the theory of compacta [PDF]
, 1996 The ultrapower theorem of Keisler-Shelah allows such model-theoretic notions as elementary equivalence, elementary embedding and existential embedding to be couched in the language of categories (limits, morphism diagrams). This in turn allows analogs of
Bankston, Paul
core
, 2017 A fundamental fact for the algebraic theory of constraint satisfaction problems (CSPs) over a fixed template is that pp-interpretations between at most countable \omega-categorical relational structures have two algebraic counterparts for their ...
Barto, Libor +2 more
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