scholarly journals Interval topology in contact geometry

2019 ◽  
Vol 22 (05) ◽  
pp. 1950042
Author(s):  
Vladimir Chernov ◽  
Stefan Nemirovski

A topology is introduced on spaces of Legendrian submanifolds and groups of contactomorphisms. The definition is motivated by the Alexandrov topology in Lorentz geometry.

1973 ◽  
Vol 16 (4) ◽  
pp. 416-430 ◽  
Author(s):  
John Boris Miller

Let (G, ≼) be an l-group having a compatible tight Riesz order ≦ with open-interval topology U, and H a normal subgroup. The first part of the paper concerns the question: Under what conditions on H is the structure of (G, ≼, ∧, ∨, ≦, U) carried over satisfactorily to by the canonical homomorphism; and its answer (Theorem 8°): H should be an l-ideal of (G, ≼) closed and not open in (G, U). Such a normal subgroup is here called a tangent. An essential step is to show that ≼′ is the associated order of ≦′.


2012 ◽  
Vol 28 (1) ◽  
pp. 015006 ◽  
Author(s):  
Yun Soo Park ◽  
Hwan Gi Lee ◽  
Chung-Mo Yang ◽  
Dong-Seok Kim ◽  
Jin-Hyuk Bae ◽  
...  

2018 ◽  
Vol 102 (6) ◽  
pp. 3609-3622 ◽  
Author(s):  
Richard A. Veazey ◽  
Amy S. Gandy ◽  
Derek C. Sinclair ◽  
Julian S. Dean

2016 ◽  
Vol 40 ◽  
pp. 657-664 ◽  
Author(s):  
Mohammad Bagher KAZEMI BALGESHIR

1999 ◽  
Vol 74 (25) ◽  
pp. 3761-3763 ◽  
Author(s):  
D. R. Chamberlin ◽  
E. Bründermann ◽  
E. E. Haller

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