1. Correspondence

Constraints on Correspondence 1

My aim in what follows is to lay down some constraints on a correspondence theory of truth for cm pi rical sentences of a natural language. The constraints in question derive from the attempt to construct such a theory as far as possible without appeal to abstract entities of any sort. Let us concentrate, for the moment, on the fact that our business is natural language. Natural languages are n...

Supplementary Text 1: Correspondence

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We present the results of a visible spectroscopic and photometric survey of Jupiter Trojans belonging to different dynamical families. The survey was carried out at the 3.5m New Technology Telescope (NTT) of the European Southern Observatory (La Silla, Chile) in April 2003, May 2004 and January 2005. We obtained data on 47 objects, 23 belonging to the L5 swarm and 24 to the L4 one. These data t...

Engineering a Bosonic AdS / CFT Correspondence 1

We search for a possible bosonic (i.e. non-supersymmetric) string/gauge theory correspondence by using ten-dimensional IIB and 0B strings as a guide. Our construction is based on the low-energy bosonic string effective action modified by an extra form flux. The closed string tachyon can be stabilyzed if the AdS scale L does not exceed certain critical value, L < L c. We argue that the extra for...

THE DOLD-KAN CORRESPONDENCE 1. Simplicial sets

We have just seen that the category ∆ is equivalent to the subcategory consisting of the [n]. As a result, a simplicial set X• is given by specifying sets Xn for each n ∈ Z≥0, together with maps Xn → Xm for each map [m] → [n] in ∆. These maps are required to satisfy compatibility conditions (i.e., form a functor). The set Xn is called the set of n-simplices of X•. Example 1.3. Let X be a topolo...