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123 papers in math.GN · page 2
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Transfinite wild ranks are homotopy invariants realizable by Peano continua
Transfinitely iterated wild sets
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Logic model characterizes harmonic manifolds for n at most 2
Saturation and isomorphism of abstract harmonic spaces
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Modulus density points recover Lebesgue density theorem
A generalization of the Lebesgue density theorem via modulus density
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Coverings of perforated surfaces come from ordinary surface coverings
On the fundamental groups of perforated surfaces
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1-cycles in crypto phase space track risk
Topological Complexity and Phase Space Stability: A Persistent Homology Approach to Cryptocurrency Risk
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Counterexample disproves converse of Borsuk fan theorem
The converse to Borsuk's result on fans fails
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Trivial π₂ forces non-zero Maslov class for Lagrangians
The topology of Lagrangian submanifolds via open-closed string topology
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Countable Boolean topological groups have closed discrete bases
Any countable topological $\mathbb F_p$-vector space has a closed discrete basis
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Countable F_p-vector spaces have closed discrete bases
Any countable topological $\mathbb F_p$-vector space has a closed discrete basis
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Cantor set dynamics lift to fence spaces
Dynamics on fences
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Eigenvalue collisions allow exotic spectrum preservers
Eigenvalue collision and exotic preservers on semisimple operators
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Real line carries 2^c non-homeomorphic coarse topologies
Many coarse topologies on the real line
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New extension property identifies universal retractions on Urysohn space
Topological size of the set of universal and ultrahomogeneous retractions on the Urysohn space
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Forcing notions prove some graphs have no countable alpha-Borel colorings
Topology, forcing, and graph colourings
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Torsion-free acylindrically hyperbolic groups satisfy relative ISR
On Relative Invariant Subalgebra Rigidity Property
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Every compact set on a closed surface has a core atom decomposition
Atoms of Compacta on Closed Surfaces
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Refined test spots Cauchy sequences in db-metric spaces
A criterion for Cauchy sequences in db-metric spaces
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Exact capacities equal envelopes of probability measure sets
On exact capacities
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Reentry on extended reals yields first path-connected compact US-not-KC space
The Extended Real Line with Reentry: Separating US from KC in the Clontz Hierarchy
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Smooth sublocales equal Bruns-Lakser completion of locally closed ones
The lattice of smooth sublocales as a Bruns-Lakser completion
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Spaces embed into function spaces to lift partial actions
On {\Gamma}-embeddings and partial actions of function spaces
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Non-meager products of separable spaces are generalized Namioka spaces
On generalized Namioka spaces and joint continuity of functions on product of spaces
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Median algebra rank equals independence number of its maps
Tameness of actions on finite rank median algebras
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Normal-matrix preservers reduce to conjugations or eigenvalue orderings
The combinatorics of permuting and preserving curve-bound spectra
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Convex uniform structures compactify circular orders
Circular orders: topology and continuous actions
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Countable compactness lets groups act on joins
Discontinuous actions on cones, joins, and $n$-universal bundles
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CH classifies all projection masas in the Calkin algebra
On masas of the Calkin algebra generated by projections
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Two regular isodyne spaces of size ω₁ yield an ω-resolvable product
Resolvability in products of spaces of small cardinality
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CH yields normal Sorgenfrey square on non-λ-set
Normality in the square of the Sorgenfrey Line
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Trees built so their powers differ in normality or Souslinness
The power of trees
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Pontryagin duality questions arise for abelian pro-Lie groups
Some notes on Pontryagin duality of abelian topological groups
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Injective envelope is the maximal rigid multiplier cover
Hamana's injective envelope as a maximal rigid multiplier cover
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Non-Nikodym generated algebras also lack Grothendieck property
The Nikodym and Grothendieck properties of Boolean algebras and rings related to ideals
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Compact X scattered iff every C_p(X) subspace has complemented c_0
Lotz-Peck-Porta and Rosenthal's theorems for spaces $C_p(X)$
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Universal brackets recover skein modules for annular and toroidal knotoids
From annular to toroidal knotoids and their universal bracket polynomials
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Infinite sums alone yield a refined topology and new quotients
Algebraization of infinite summation
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Orderable groups with ω^ω-bases are metrizable
Suitable sets for topological groups revisited
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Magnitude is continuous on tractable metric spaces
Tractable Metric Spaces and Magnitude Continuity
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Deligne pro-sheaves match Clausen-Scholze solid modules for j_!
Coherent six-functor formalisms: Pro vs Solid
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Non-normal numbers are super-dense while normal numbers are not
Super-Dense Sets and Their Role in the Theory of Normal Numbers
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Fixed loci of groupoids equal real loci of DM stacks over R
Topological groupoids with involution and real algebraic stacks
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Sphere-to-R^n maps require additive distortion of at least a parity-dependent formula
Distortion from spheres into Euclidean spaces
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Contact relation cannot define interior-connectedness
On Nondefinability of Interior-Connectedness via the Contact Relation
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Poset of connected pieces yields unifying connectivity taxonomy
What is Connectivity?
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α-balanced Polish groups stratify TSI to CLI hierarchy
The class and dynamics of $\alpha$-balanced Polish groups
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Tranched graphs unify quasi-graphs and sin(1/x) continua
Tranched graphs: consequences for topology and dynamics
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Edge-end spaces form a proper subclass of graph end spaces
Topological remarks on end and edge-end spaces
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Every V-normed category has a correct-size Cauchy cocompletion
Cauchy convergence in V-normed categories
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Unique path lifting turns manifold maps into coverings
On R-trees, homotopies, and covering maps
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Qcqs scheme components are preimages from Spec of global sections
Connected components of qcqs schemes and projective spaces