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Closure operators I

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This article is published in Topology and its Applications.The article was published on 1987-11-01 and is currently open access. It has received 355 citations till now. The article focuses on the topics: Operator theory & Spectral theorem.

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Patent

Vehicle liftgate power operating system

TL;DR: In this paper, a power operating system for opening and closing a vehicle liftgate has a pair of drive units supported on the vehicle roof and connected to the liftgate for operation.
Patent

Vehicle body with powered lift type tailgate

TL;DR: In this paper, a tailgate is hinged to a passenger van type vehicle body above a substantially vertical rear access opening for swinging movement about a horizontal hinge axis, which is counterbalanced through its range of movement by spring devices and is opened and closed by a powered actuator mounted on a rear vehicle body pillar.
Patent

Power driven venting of a vehicle

TL;DR: In this article, an obstruction detection apparatus is provided for use in closing a power driven vent, such as a window, that is located in an opening, and a controller is connected to the detector for receiving the detection signal and delivering a corresponding alarm signal.
Patent

Control function-power operated lift gate

TL;DR: In this paper, a lift-type tailgate on a passenger van type vehicle body is operated by an electric motor powered actuator with an electronic control circuit utilizing a microprocessor operating under program control to respond to user-initiated opening and closing signals to move the tailgate in the selected direction.
Journal Article

Topology in a category: compactness

TL;DR: In this paper, a categorical theory of compactness and perfectness for topology with a subobject structure and a closure operator is proposed, which yields a number of classical results of general topology as special cases, including the product theorems by Tychonofi and Frol¶‡k, the existence of Stone{ • Cech compactiflcations, both for spaces and maps, and the Henriksen{Isbell characterization of perfect maps of TCH spaces.
References
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Journal ArticleDOI

A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on

TL;DR: In this paper it was shown that the reflexion exists and is given as the colimit of a simple transfinite sequence, if A is cocomplete and the Tk preserves either colimits or unions of suitably-long chains of subobjects.
Book ChapterDOI

Epimorphisms and Dominions

TL;DR: In this article, the authors define an epimorphism as a map f: A → B such that for any maps g: B → C, h: B→ C, if g ≠ h, then gf ≠ Hf.
Journal Article

H-closed topological spaces