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Konstruktionsmethoden und das kombinatorische Homöomorphieproblem für Triangulationen kompakter semilinearer Mannigfaltigkeiten

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Outgoing claims: the papers this work cites, builds on, or argues with.

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The Upper Bound Conjecture and Cohen‐Macaulay Rings
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Diagonalen in Simplizialkomplexen
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�ber die bistellare �quivalenz simplizialer Sph�ren und Polytope
inferredcites →https://doi.org/10.1007/bf01215121openalex-snapshot
Sch�lbare Cohen-Macauley-Komplexe und ihre Parametrisierung
inferredcites →https://doi.org/10.1007/bf01226024openalex-snapshot
Bistellare �quivalenz kombinatorischer Mannigfaltigkeiten
inferredcites →https://doi.org/10.1007/bf01344542openalex-snapshot
Stellar subdivisions of boundary complexes of convex polytopes
inferredcites →https://doi.org/10.1007/bf01370816openalex-snapshot
Eine Klasse komplexer Mannigfaltigkeiten und die Aufl�sung einiger isolierter Singularit�ten
inferredcites →https://doi.org/10.1007/bf01917206openalex-snapshot
Stellare Abänderungen und Schälbarkeit von Komplexen und Polytopen
inferredcites →https://doi.org/10.1007/bf03322927openalex-snapshot
Über stellare Äquivalenz konvexer Polytope
inferredcites →https://doi.org/10.1016/0001-8708(76)90114-6openalex-snapshot
Cohen-Macaulay quotients of polynomial rings
inferredcites →https://doi.org/10.1016/0001-8708(80)90050-xopenalex-snapshot
The number of faces of a simplicial convex polytope
inferredcites →https://doi.org/10.1016/0012-365x(80)90029-1openalex-snapshot
The classification of simplicial 3-spheres with nine vertices into polytopes and nonpolytopes
inferredcites →https://doi.org/10.1016/0097-3165(81)90058-3openalex-snapshot
A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes
inferredcites →https://doi.org/10.1016/s0167-5060(08)70320-0openalex-snapshot
Which Spheres are Shellable?
inferredcites →https://doi.org/10.1070/im1983v021n02abeh001790openalex-snapshot
BIRATIONAL GEOMETRY OF TORIC 3-FOLDS
inferredcites →https://doi.org/10.1090/s0002-9904-1975-13670-6openalex-snapshot
Cohen-Macaulay rings and constructible polytopes
inferredcites →https://doi.org/10.1093/oso/9780198596974.003.0005openalex-snapshot
Piecewise linear topology
inferredcites →https://doi.org/10.1112/s0025579300002850openalex-snapshot
The maximum numbers of faces of a convex polytope
inferredcites →https://doi.org/10.1112/s0025579300009931openalex-snapshot
Shadow‐boundaries and cuts of convex polytopes
inferredcites →https://doi.org/10.1287/moor.5.4.595openalex-snapshot
A 3-Sphere Counterexample to the Wv-Path Conjecture
inferredcites →https://doi.org/10.2140/pjm.1973.46.349openalex-snapshot
A proof of the lower bound conjecture for convex polytopes
inferredcites →https://doi.org/10.2307/1968099openalex-snapshot
The Combinatorial Theory of Complexes
inferredcites →https://doi.org/10.7146/math.scand.a-11045openalex-snapshot
Shellable Decompositions of Cells and Spheres.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Triangulated Surfaces and Polyhedral Structures
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The Geometry of Dynamical Triangulations
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Triangulated Surfaces and Polyhedral Structures
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Lickorish-type Construction of Manifolds Over Simple Polytopes
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A note about bistellar operations on PL-manifolds with boundary
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Geometry of the space of triangulations of a compact manifold
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Many triangulated spheres
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Gapped boundary theory of the twisted gauge theory model of three-dimensional topological orders
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Localizable invariants of combinatorial manifolds and Euler characteristic
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Exceptional Balanced Triangulations on Surfaces
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Unflippable Tetrahedral Complexes
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Bier Spheres and Posets
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A 15-Vertex Triangulation of the Quaternionic Projective Plane
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Small Simplicial Complexes with Prescribed Torsion in Homology
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Shellings from Relative Shellings, with an Application to NP-Completeness
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Small Triangulations of 4-Manifolds and the 4-Manifold Census
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Subdivisions, shellability, and collapsibility of products
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Spectral Properties of Unimodular Lattice Triangulations
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On the embeddability of Skeleta of spheres
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Derived subdivisions make every PL sphere polytopal
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The worst way to collapse a simplex
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Frontiers of sphere recognition in practice
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Random simple-homotopy theory
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Shellings of simplicial balls and P.L. manifolds with boundary
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State sum invariants of 3-manifolds and quantum 6j-symbols
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10.1016/b978-044488002-4/50036-1
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A property that characterizes Euler characteristic among invariants of combinatorial manifolds
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Sabitov polynomials for volumes of polyhedra in four dimensions
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Simplicial moves on balanced complexes
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Combinatorial triangulations of homology spheres
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Uniqueness of Walkup's 9-vertex 3-dimensional Klein bottle
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On k -stellated and k -stacked spheres
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Cubical flips in quadrangulations of closed surfaces
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On stellated spheres and a tightness criterion for combinatorial manifolds
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Tight complexes in 3-space admit perfect discrete Morse functions
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Stacked polytopes and tight triangulations of manifolds
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Separation index of graphs and stacked 2-spheres
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P.L. Homeomorphic Manifolds are Equivalent by Elementary 5hellingst
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Tropical graph curves
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Constraint analysis for variational discrete systems
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Coherent states, 6j symbols and properties of the next to leading order asymptotic expansions
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Quantization of systems with temporally varying discretization. II. Local evolution moves
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The construction of combinatorial manifolds with prescribed sets of links of vertices
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Torus actions, combinatorial topology, and homological algebra
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Simplicial Manifolds, Bistellar Flips and a 16-Vertex Triangulation of the Poincaré Homology 3-Sphere
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Combinatorial Random Walks on 3-Manifolds
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Combinatorial Properties of theK3 Surface: Simplicial Blowups and Slicings
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Random Discrete Morse Theory and a New Library of Triangulations
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Sampling Triangulations of Manifolds Using Monte Carlo Methods
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Conserved topological defects in non-embedded graphs in quantum gravity
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Canonical simplicial gravity
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Discretization independence implies non-locality in 4D discrete quantum gravity
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Time evolution as refining, coarse graining and entangling
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Unimodular lattice triangulations as small-world and scale-free random graphs
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Canonical formalism for simplicial gravity
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Braided Topology and the Emergence of Matter
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Balanced subdivisions and flips on surfaces
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Torus Actions and Their Applications in Topology and Combinatorics
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Twisted quantum double model of topological phases in two dimensions
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Twisted gauge theory model of topological phases in three dimensions
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Twisted quantum double model of topological order with boundaries
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Path integral measure and triangulation independence in discrete gravity
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Canonical linearized Regge calculus: Counting lattice gravitons with Pachner moves
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Coupled intertwiner dynamics: A toy model for coupling matter to spin foam models
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Genus dependence of the number of (non-)orientable surface triangulations
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Pentagon Identities Arising in Supersymmetric Gauge Theory Computations
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Configuration spaces, bistellar moves, and combinatorial formulae for the first Pontryagin class
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On basic concepts of tropical geometry
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Buchstaber invariant theory of simplicial complexes and convex polytopes
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Triangulations and TQFT's
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UNUSUAL FORMULAE FOR THE EULER CHARACTERISTIC
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simpcomp
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Simplicial blowups and discrete normal surfaces in simpcomp
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Discrete Approaches to Quantum Gravity in Four Dimensions
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An upper bound on Reidemeister moves
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Constructing complicated spheres
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Simple crystallizations of 4-manifolds
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Superconformal indices, dualities and integrability
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A duality in Buchsbaum rings and triangulated manifolds
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Simplicial moves on complexes and manifolds
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Emergent Braided Matter of Quantum Geometry
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Построение комбинаторных многообразий с заданными наборами линков вершин
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634 vertex-transitive and more than $10^{103}$ non-vertex-transitive 27-vertex triangulations of manifolds like the octonionic projective plane
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634 vertex-transitive and more than $10^{103}$ non-vertex-transitive 27-vertex triangulations of manifolds like the octonionic projective plane
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Действия торов, комбинаторная топология и гомологическая алгебра
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A Geometric Approach to Sample Compression
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Discrete Morse Theory Is At Least As Perfect As Morse Theory
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Computationally proving triangulated 4-manifolds to be diffeomorphic
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The Hard Lefschetz Theorem for PL spheres
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On the Category of Boundary Values in the Extended Crane-Yetter TQFT
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Proof of the Poincare' conjecture
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Minimal Triangulations of Reducible 3-Manifolds
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Les bissections expliquent le théorème de Reidemeister-Singer : Un retour aux sources
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