2001
DOI: 10.4064/ap77-3-7
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Invariance of domain in o-minimal structures

Abstract: The aim of this paper is to prove the theorem on invariance of domain in an arbitrary o-minimal structure. We do not make use of the methods of algebraic topology and the proof is based merely on some basic facts about cells and cell decompositions.

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Cited by 5 publications
(8 citation statements)
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“…Rather important spin effects (spin correlations) in the top decays are therefore not yet included. The similar solution, like for tau decay in the Z-boson production process discussed in [28], is planned to be implemented here in the near future.…”
Section: The Gg Qq → Ttbb Processesmentioning
confidence: 99%
“…Rather important spin effects (spin correlations) in the top decays are therefore not yet included. The similar solution, like for tau decay in the Z-boson production process discussed in [28], is planned to be implemented here in the near future.…”
Section: The Gg Qq → Ttbb Processesmentioning
confidence: 99%
“…The original arrays that stored mother and daughter pointers to encode the decay process started to serve multiple purposes, depending on the context: either (as originally) to indicate the decay processes, or to encode some other relationship. Needless to say that for the programs such as PHOTOS [7][8][9][10], which relies on consistent information about the decay cascade structure to extract sub-trees, or TAUOLA [5,6], which needs to extract the information about the hard process, it has become extremely difficult to maintain a consistent generic and reliable interface to other event generators.…”
Section: The Use Of Lists In Mc-testermentioning
confidence: 99%
“…=22 PDG Id's of the particles to be removed. Repetition of this parameter is allowed for params [5], params [6] etc.…”
Section: Params[4]mentioning
confidence: 99%
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“…the background is severely rejected while most of the signal survives. Now, recall that distributions of π ± tracks coming from τ 's are sensitive to the polarisation state of the τ -lepton and that in turn the spin/helicity states of τ 's coming from H ± scalars and W ± gauge bosons are different [23,24,25]. In fact, the exploitation of this fact has already been proved to be very effective in the detection of H + → τ + ν τ signals in hadron-hadron collisions [26,27,28] 5 .…”
mentioning
confidence: 99%