The Stone-Čech compactification of a partial frame via ideals and cozero elements

2015 ◽  
Vol 39 (1) ◽  
pp. 115-134 ◽  
Author(s):  
John Frith ◽  
Anneliese Schauerte
Keyword(s):  
2018 ◽  
Vol 44 (1) ◽  
pp. 38-58 ◽  
Author(s):  
Deguang Han ◽  
Fusheng Lv ◽  
Wenchang Sun
Keyword(s):  

1998 ◽  
Vol 38 (10) ◽  
pp. 1708-1715 ◽  
Author(s):  
Kyung Hyun Ahn ◽  
Dong-Hak Kim
Keyword(s):  

2017 ◽  
Vol 44 (3) ◽  
pp. 879-896
Author(s):  
Fusheng Lv ◽  
Wenchang Sun

2019 ◽  
Vol 25 (5) ◽  
pp. 460-476
Author(s):  
Hiroshi Tagawa ◽  
Shinichiro Yoshida ◽  
Yudai Nakaoka ◽  
Xingchen Chen

This research proposes connection configurations of two types for non-intersecting H-section steel beam and column. To elucidate the mechanical behavior of the proposed connections, full-scale moment connection tests and finite element analyses were conducted using T-shaped partial frame models. Comparisons between the proposed connections and regular intersecting connections demonstrate that the proposed connection is able to provide sufficient stiffness and energy-dissipation capacity if the beam and column flanges are designed to provide sufficient shear resistance. Then to understand the global behavior of frames using the proposed connections, pushover analyses of a two-story two-span frame were conducted. Because the bending moment of the beam acts on the column by a torque through the proposed connections, torsion spring models were incorporated for representing the proposed connections in 3D frame analysis. Analysis results showed that the girders and columns exhibited lower stiffness and strength than those of frames with intersecting connections because of torsion. To overcome this issue, torsion restraint by secondary beams with different configurations was discussed and optimal configuration was suggested. By utilizing the optimal configuration, torsion of girders and columns can be efficiently reduced into a similar level as that of regular intersecting connections.


2018 ◽  
Vol 68 (2) ◽  
pp. 285-298 ◽  
Author(s):  
John Frith ◽  
Anneliese Schauerte

Abstract Partial frames provide a fertile context in which to do pointfree structured and unstructured topology, using a small collection of axioms of an elementary nature. Amongst other things they can be used to investigate similarities and differences between frames, σ-frames and κ-frames. In this paper, the theory of strong inclusions for partial frames is used to describe compactifications of completely regular partial frames; the elements of these compactifications are given explicitly as strongly regular ideals. This is independent of and encompasses the theory of compactifications for frames. As an application, we revisit the Samuel compactification of a uniform partial frame.


2016 ◽  
Vol 76 (5) ◽  
pp. 7473-7496 ◽  
Author(s):  
Po-Chyi Su ◽  
Tzung-Fu Tsai ◽  
Yu-Chien Chien

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