Search results for "Inverse image"

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Representations of American Indians and the Irish in educational reports, 1850s–1920s

2002

Modern colonialism, writes Gyan Prakash, ‘instituted enduring hierarchies of subjects and knowledges — the colonizer and the colonized, the Occidental and the Oriental, the civilized and the primitive, the scientific and the superstitious, the developed and the underdeveloped’. Such dichotomies ‘reduced complex differences and interactions to the binary (self/other) logic of colonial power’, and colonial rulers ‘constituted the “native” as their inverse image’. Such perceptions of difference as ‘other’ expressed what ‘civilized’ Westerners believed themselves not to be — but also what they feared they might become, should they lose rational self-control. The ‘other’, writes Eva Kornfelt, ‘t…

HistoryInverse imageDichotomySelfNoble savagemedia_common.quotation_subject05 social sciencesGender studies06 humanities and the artsColonialismlanguage.human_language0506 political science060104 historyPower (social and political)IrishAestheticsPerception050602 political science & public administrationlanguage0601 history and archaeologySociologymedia_commonIrish Historical Studies
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The associated sheaf functor theorem in algebraic set theory

2008

We prove a version of the associated sheaf functor theorem in Algebraic Set Theory. The proof is established working within a Heyting pretopos equipped with a system of small maps satisfying the axioms originally introduced by Joyal and Moerdijk. This result improves oil the existing developments by avoiding the assumption of additional axioms for small maps and the use of collection sites.

Sheaf cohomologyFunctorDirect image functorLogicInvertible sheafIdeal sheafAlgebraMathematics::LogicDerived algebraic geometryMathematics::Category TheorySheafAlgebraic set theory presheaves sheavesInverse image functorMathematics
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