4 found
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  1.  10
    Interpretable Groups Are Definable.Pantelis E. Eleftheriou, Ya'acov Peterzil & Janak Ramakrishnan - 2014 - Journal of Mathematical Logic 14 (1):1450002.
  2.  17
    Uniform Bounds on Growth in o-Minimal Structures.Janak Ramakrishnan - 2010 - Mathematical Logic Quarterly 56 (4):406-408.
    We prove that a function definable with parameters in an o-minimal structure is bounded away from ∞ as its argument goes to ∞ by a function definable without parameters, and that this new function can be chosen independently of the parameters in the original function. This generalizes a result in [1]. Moreover, this remains true if the argument is taken to approach any element of the structure , and the function has limit any element of the structure.
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  3.  11
    Maximal Small Extensions of o-Minimal Structures.Janak Ramakrishnan - 2010 - Mathematical Logic Quarterly 56 (5):470-474.
    A proper elementary extension of a model is called small if it realizes no new types over any finite set in the base model. We answer a question of Marker, and show that it is possible to have an o-minimal structure with a maximal small extension. Our construction yields such a structure for any cardinality. We show that in some cases, notably when the base structure is countable, the maximal small extension has maximal possible cardinality.
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  4. Definably Extending Partial Orders in Totally Ordered Structures.Janak Ramakrishnan & Charles Steinhorn - 2014 - Mathematical Logic Quarterly 60 (3):205-210.
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