Search results for "Initial and terminal objects"

showing 3 items of 3 documents

A fuzzification of the category of M-valued L-topological spaces

2004

[EN] A fuzzy category is a certain superstructure over an ordinary category in which ”potential” objects and ”potential” morphisms could be such to a certain degree. The aim of this paper is to introduce a fuzzy category FTOP(L,M) extending the category TOP(L,M) of M-valued L- topological spaces which in its turn is an extension of the category TOP(L) of L-fuzzy topological spaces in Kubiak-Sostak’s sense. Basic properties of the fuzzy category FTOP(L,M) and its objects are studied.

Pure mathematicsFunctorHomotopy categoryDiagram (category theory)Mathematics::General Mathematicslcsh:Mathematicslcsh:QA299.6-433lcsh:Analysislcsh:QA1-939GL-monoid(LM)-fuzzy topologyPower-set operators(LM)-interior operatorMathematics::Category TheoryCategory of topological spacesBiproductUniversal propertyGeometry and TopologyM-valued L-topologyCategory of setsL-fuzzy category(LM)-neighborhood systemMathematicsInitial and terminal objectsApplied General Topology
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Semidirect products of internal groupoids

2010

We give a characterization of those finitely complete categories with initial object and pushouts of split monomorphisms that admit categorical semidirect products. As an application we examine the case of groupoids with fixed set of objects. Further, we extend this to the internal case. (C) 2010 Elsevier B.V. All rights reserved.

Set (abstract data type)AlgebraSettore MAT/02 - AlgebraHigher-dimensional algebraAlgebra and Number Theorysemi-direct product groupoid internal structuresMathematics::Category TheoryCharacterization (mathematics)Categorical variableInitial and terminal objectsMathematicsJournal of Pure and Applied Algebra
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The neural mechanisms of word order processing revisited: electrophysiological evidence from Japanese.

2008

We present two ERP studies on the processing of word order variations in Japanese, a language that is suited to shedding further light on the implications of word order freedom for neurocognitive approaches to sentence comprehension. Experiment 1 used auditory presentation and revealed that initial accusative objects elicit increased processing costs in comparison to initial subjects (in the form of a transient negativity) only when followed by a prosodic boundary. A similar effect was observed using visual presentation in Experiment 2, however only for accusative but not for dative objects. These results support a relational account of word order processing, in which the costs of comprehen…

AdultMaleLinguistics and LanguagePhraseCognitive NeuroscienceDative caseExperimental and Cognitive PsychologylinearizationLanguage and LinguisticsSpeech and HearingAsian PeopleSubject (grammar)P600HumansN400Argument (linguistics)Evoked PotentialsLanguageInformation processingBrainElectroencephalographyLinguisticsElectrophysiologyJapaneseSpeech PerceptionVisual PerceptionFemalePsychologySentenceWord orderCognitive psychologyInitial and terminal objectsBrain and language
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