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Ambient-Oriented Exception Handling [chapter]

Stijn Mostinckx, Jessie Dedecker, Elisa Gonzalez Boix, Tom Van Cutsem, Wolfgang De Meuter
2006 Lecture Notes in Computer Science  
Writing ambient-oriented software for mobile devices connected through wireless network connections provides a new challenge in the field of exception handling.  ...  We subsequently present ambient conversations, a novel distributed exception handling mechanism that adheres to the prescribed criteria, and describe its realisation in the ambient-oriented programming  ...  Ambient-Oriented Exception Handling This section presents a collection of criteria that need to be exhibited by an ambient-oriented exception handling mechanism.  ... 
doi:10.1007/11818502_8 fatcat:mxcpiuw435egpl4bjdat4gldvi

Cusp equivalence between smooth embeddings of the 2-sphere in 4-space [article]

Takao Matumoto
1999 arXiv   pre-print
That is, they are ambient isotopic after a genus g unknotted orientable surface is attached as a connected summand to each. (3) They are weakly stably equivalent if, for some n ≥ 0, they are ambient isotopic  ...  As for Theorem 3, if the 1-handles are preserved by an ambient isotopy for stably equivalent embedded surfaces, they are easily shown to be weakly stably equivalent.  ... 
arXiv:math/9911257v1 fatcat:xc3b6rigmng5badwy4pclgiv6e

Object-Oriented Coordination in Mobile Ad Hoc Networks [chapter]

Tom Van Cutsem, Jessie Dedecker, Wolfgang De Meuter
2007 Lecture Notes in Computer Science  
This paper proposes to close the paradigmatic gap between an object-oriented language and its distributed communication infrastructure by introducing ambient references: loosely-coupled remote object references  ...  We introduce an object-oriented referencing abstraction to express coordination between objects hosted on mobile devices interconnected by a wireless ad hoc network.  ...  Object-oriented Referencing Abstractions M2MI The design of ambient references has been inspired by the notion of a handle in the many-to-many invocations (M2MI) paradigm [17] .  ... 
doi:10.1007/978-3-540-72794-1_13 fatcat:lb6smbis5zh57dbslweutfh76a

Exceptional surgery curves in triangulated 3-manifolds [article]

Marc Lackenby
1999 arXiv   pre-print
isotopy) only a finite number of such exceptional surgery curves in a given compact orientable 3-manifold M, with the boundary of M a (possibly empty) union of tori.  ...  We show that, providing the exterior of K is irreducible and atoroidal, and the distance between r and the meridian slope is more than one, and a homology condition is satisfied, then there is (up to ambient  ...  Hence, in the case where K and σ are norm-exceptional, we let (M, ∅) = (M 2 , γ 2 ). Suppose now that K and σ are exceptional and that some 0-handle of F has non-positive index.  ... 
arXiv:math/9907093v1 fatcat:34xk7exj7ndg3gi53d5h2v5tti

Exceptional surgery curves in triangulated 3-manifolds

Marc Lackenby
2003 Pacific Journal of Mathematics  
isotopy) only a finite number of such exceptional surgery curves in a given compact orientable 3manifold M , with ∂M a (possibly empty) union of tori.  ...  We show that, providing the exterior of K is irreducible and atoroidal, and the distance between σ and the meridian slope is more than one, and a homology condition is satisfied, then there is (up to ambient  ...  Then (up to ambient isotopy) there is an infinite number of surgery curves K in M , with exceptional or norm-exceptional surgery slopes σ satisfying ∆(σ, µ) = 1, where µ is the meridian slope on ∂N (K)  ... 
doi:10.2140/pjm.2003.210.101 fatcat:jit4nmcc7vgyro4qdhdensveey

On Rigorous Design and Implementation of Fault Tolerant Ambient Systems

Alexei Iliasov, Alexander Romanovsky, Budi Arief, Linas Laibinis, Elena Troubitsyna
2007 10th IEEE International Symposium on Object and Component-Oriented Real-Time Distributed Computing (ISORC'07)  
It is therefore necessary to construct the critical parts of fault tolerant ambient systems in a rigorous manner.  ...  We then outline our experience in developing an ambient lecture system using the combination of formal approach and our middleware.  ...  Compared with the work outlined in [8] , our current framework imposes less restrictions on the agents during exception handling, in particular, an agent does not have to be involved in exception handling  ... 
doi:10.1109/isorc.2007.46 dblp:conf/isorc/IliasovRALT07 fatcat:fwb6gvfoxjc5jfllktz6cosnvm

Presentations of $n$-knots

C. Kearton
1975 Transactions of the American Mathematical Society  
one 0-handle).  ...  ., one which, regarding Sn as S" = handle + collar + handle 4-collar +••*•, embeds each handle in a level of Sn+1 x I and each collar productwise along the / direction.  ...  ., and h1lh2 is orientation preserving, we may by regular neighborhood theory ambient isotop Dt to coincide with D2, keeping (dBr x B"~r)l fixed. Extend this to an ambient isotopy of F"+1 by coning.  ... 
doi:10.1090/s0002-9947-1975-0358795-1 fatcat:mhwbtldwivhs7a5aw6fhtuz4c4

Double coverings of twisted links [article]

Naoko Kamada, Seiichi Kamada
2016 arXiv   pre-print
As virtual links correspond to abstract links on orientable surfaces, twisted links correspond to abstract links on (possibly non-orientable) surfaces.  ...  It is defined by considering the orientation double covering of an abstract link or alternatively by constructing a diagram called a double covering diagram.  ...  It follows from Theorem 4.6 and the definitions of a 1-handle ambient surgery, a 2-handle ambient surgery, elimination of a nugatory ambient component, and addition of a nugatory ambient component.  ... 
arXiv:1510.03001v3 fatcat:urni7ahgonbihkpgeenfy2ha74

A converse to (Milnor-Kervaire theorem) ×Retc…

Michael Freedman
1979 Pacific Journal of Mathematics  
The ambient surgery is along that l(or 2)-handle.  ...  The construction of h is as a product imbedding except for isolated levels where 1-handles or 2-handles are attached (core disks are assumed to descend towards the zero level).  ... 
doi:10.2140/pjm.1979.82.357 fatcat:vu22btaxlfgqbhknmolrkzvgqe

Smooth embeddings with Stein surface images

Robert E. Gompf
2013 Journal of Topology  
Pseudoconvex embeddings of Brieskorn spheres and other 3-manifolds into complex surfaces are constructed, as are pseudoconcave holomorphic fillings (with disagreeing contact and boundary orientations).  ...  We arrange the contact structure to be fixed except on a ball in each k-handle boundary: The set of oriented planes at a given point in ∂H k can be identified with S 2 (by the positive normal vector, or  ...  Note that only the mod 2 residue of m affects the answers except when m = 1 and the pseudoconvex region contains the exceptional sphere.  ... 
doi:10.1112/jtopol/jtt017 fatcat:2impkeh2gfde3f5lacmvssyh2a

Periodic ends and knot concordance

Robert E. Gompf
1989 Topology and its Applications  
A corollary of the proof is that there are uncountably many ditfeomorphism types of Casson handles.  ...  Observe that hK, contains T,, which is a kinky handle with only negative kinks. Reversing ambient orientation, we see that hk,, contains a kinky handle with only positive kinks.  ...  We will work entirely in the smooth category, except when otherwise stated. AI1 manifolds will implicitly be oriented, and embeddings will be assumed to preserve orientation.  ... 
doi:10.1016/0166-8641(89)90051-5 fatcat:7eo77brpizhc5g5f5xje2dltau

Stein surfaces as open subsets of C^2 [article]

Robert E. Gompf
2006 arXiv   pre-print
subset U of a complex surface can be topologically perturbed to yield an open subset whose inherited complex structure is Stein, if and only if U is homeomorphic to the interior of a handlebody whose handles  ...  By induction, one obtains a Stein thickening U of K, after a C 0 -small topological ambient isotopy that is smooth except near the kink, where U is obtained by adding the simplest Casson handle (with one  ...  We can assume the intersection of the Stein surfaces is a sphere topologically ambiently isotopic to K, and that this is smooth except at a single point (aside from the smooth cone point p in (b)).  ... 
arXiv:math/0501509v3 fatcat:purmljvh3ng7zlfponfher6wly

Stein surfaces as open subsets of $\boldsymbol{\mathbb{C}}^2$

Robert E. Gompf
2005 The Journal of Symplectic Geometry  
subset U of a complex surface can be topologically perturbed to yield an open subset whose inherited complex structure is Stein, if and only if U is homeomorphic to the interior of a handlebody whose handles  ...  By induction, one obtains a Stein thickening U of K, after a C 0 -small topological ambient isotopy that is smooth except near the kink, where U is obtained by adding the simplest Casson handle (with one  ...  We can assume the intersection of the Stein surfaces is a sphere topologically ambiently isotopic to K and that this is smooth except at a single point (aside from the smooth cone point p in (b)).  ... 
doi:10.4310/jsg.2005.v3.n4.a4 fatcat:fyhz7tubazhojegk5mkpyqvvza

Crossing changes and circular Heegaard splittings [article]

Alexander Coward
2012 arXiv   pre-print
our results imply that an algorithm to detect when two hyperbolic or fibered knots of different genus are related by a crossing change would follow from an algorithm to determine whether two compact oriented  ...  ) sweep though parallel surfaces except for exactly one index-2 critical point for every 1-handle in C 2 .  ...  As t increases from 0 to π, we let f −1 (e it ) sweep though parallel surfaces except for exactly one index-1 critical point for every 1-handle in C 1 , and as t increases from π to 2π we let f −1 (e it  ... 
arXiv:1210.5812v1 fatcat:dzyeajrcsvcalmtzriu37gta7u

Infinite families of casson handles and topological disks

Robert E. Gompf
1984 Topology  
We will consider a C&son handle to be a smooth pair CH = (C&son handle, attaching circle) with a fixed orientation on the ambient space and a fixed decomposition into kinky handles.  ...  The kinks (points of self-intersection) of i(D) have canonical signs, provided M is oriented. Casson handles are defined in [l] and [4].  ...  Quinn ([7] , Proposition 2.2.4) shows that CH may be smoothly embedded in a standard 2-handle in such a way that the 2-handle core may be ambiently isotoped into CH.  ... 
doi:10.1016/0040-9383(84)90002-8 fatcat:n2ssfjpdhfgnvlbj4hscx4yjxy
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