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Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 2008, Volume 18, Issue 3, pp. 037107 - 1/6
Journal Article
Topology and its Applications, ISSN 0166-8641, 07/2017, Volume 225, pp. 139 - 144
An equivalent and useful version of the Homological Nerve Theorem is proved. 
Topological Helly Theorem | Sperner Theorem | Nerve Theorem | HELLY THEOREM | MATHEMATICS | MATHEMATICS, APPLIED | COMPLEX
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 11/2015, Volume 92, Issue 5, p. 052710
Information maximization has been investigated as a possible mechanism of learning governing the self-organization that occurs within the neural systems of... 
PHYSICS, FLUIDS & PLASMAS | INFORMATION | INFOMAX | FREE-ENERGY DIFFERENCES | STEADY-STATE THERMODYNAMICS | SELF-ORGANIZATION | PHYSICS, MATHEMATICAL | Learning | Exploratory Behavior - physiology | Algorithms | Animals | Entropy | Avoidance Learning - physiology | Models, Neurological | Nerve Net - physiology
Journal Article
Neural Computation, ISSN 0899-7667, 11/2014, Volume 26, Issue 11, pp. 2527 - 2540
It is often hypothesized that a crucial role for recurrent connections in the brain is to constrain the set of possible response patterns, thereby shaping the... 
Letters | POPULATION | NEUROSCIENCES | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Models, Neurological | Nerve Net - physiology | Humans | Neurons - physiology | Neural Networks (Computer) | Networks | Architecture | Computation | Mathematical analysis | Nerves | Feedforward | Joints | Combinatorial analysis
Journal Article
Journal of Neuroscience Research, ISSN 0360-4012, 05/2016, Volume 94, Issue 5, pp. 351 - 365
Journal Article
Discrete & Computational Geometry, ISSN 0179-5376, 3/2015, Volume 53, Issue 2, pp. 402 - 413
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 05/2004, Volume 356, Issue 5, pp. 1781 - 1797
We study elementary extensions of compact complex spaces and deduce that every complete type of dimension 1 is internal to projective space. This amounts to a... 
Morphisms | Quantifier elimination | Algebra | Maps | Existence theorems | Model theory | Coordinate systems | Definable sets | Myelinated nerve fibers | Zariski topologies | MATHEMATICS
Journal Article
Journal of Neuroscience Methods, ISSN 0165-0270, 04/2008, Volume 169, Issue 2, pp. 366 - 373
Journal Article
Nature Reviews Neuroscience, ISSN 1471-003X, 07/2015, Volume 16, Issue 7, pp. 419 - 429
Journal Article
Journal of Combinatorial Theory, Series A, ISSN 0097-3165, 01/2020, Volume 169, p. 105125
Given a simplicial complex and a collection of subcomplexes covering it, the nerve theorem, a fundamental tool in topological combinatorics, guarantees a... 
Nerve theorem | Homological Sperner lemma | Carrier theorem | MATHEMATICS | SPERNER
Journal Article
2007, ISBN 9780262042383, xiii, 326
Book
Journal Article
Advances in Mathematics, ISSN 0001-8708, 03/2014, Volume 253, pp. 163 - 193
Journal Article
Discrete and Computational Geometry, ISSN 0179-5376, 2018, Volume 63, Issue 3, pp. 549 - 559
We introduce the notion of cylinder of a relation in the context of posets, extending the construction of the mapping cylinder. We establish a local-to-global... 
Nerve | Quillen’s Theorem A | Finite topological spaces | Relations | Posets | Quillen's Theorem A | TOPOLOGY | MATHEMATICS | COMPUTER SCIENCE, THEORY & METHODS | HOMOTOPY | Formulations | Set theory | Theorems | Maps | Intersections | Cylinders
Journal Article
Nature Cell Biology, ISSN 1465-7392, 07/2012, Volume 14, Issue 7, pp. 753 - 763