human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "dugundji systems and a retract characterization of effective zero dimensionality"
  Abstract: In a previous paper, the author considered several conditions for effective zero-dimensionality of a computable metric space $X$; each of the (classically equivalent) properties of having vanishing small or large inductive dimension, or covering dimension, or having a countable basis of clopen sets, can be interpreted as multi-valued operations, and the computability of these operations was shown to be mutually equivalent. If one fixes a represented set of at-most-zero-dimensional subspaces, suitable uniform versions of some of the implications in the equivalence also hold. In this paper, we show for closed at-most-zero-dimensional subspaces with some negative information, we again have equivalence of computability of the operations considered (thus there is a robust notion of `uniform effective zero-dimensionality' for such classes of subsets). #R##N#We also extend a retract characterization of effective zero-dimensionality from our earlier paper (recall a space is zero-dimensional iff every nonempty closed subset of it is a retract of the space) to closed subspaces. While, in the converse direction, local compactness \& bilocated sets are still used, in the forward direction the new, relative version of this result has a simpler proof (even when the subspace coincides with the whole space) and no compactness assumption. Actually, this proof relates to so-called Dugundji systems; we elaborate both a general construction of such systems for a proper nonempty closed subspace (using a computable form of countable paracompactness), and modifications: to make the sets pairwise disjoint if the subspace is zero-dimensional, or to avoid the restriction to proper subspaces. In a different direction, our second theorem applies in $p$-adic analysis the ideas of the first theorem to compute a more general form of retraction, given a Dugundji system (possibly without disjointness).

Question: Please tell me which class the center node belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.LO(Logic in Computer Science)