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When is a cellular-countably-compact space, countably compact?
We continue the study of cellular-compact spaces and the larger class of cellular-countably-compact spaces. We give a number of sufficient conditions...
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Compact productivity of Lindelöf-type properties
A subclass of the class of feebly Lindelöf spaces, namely the almost cellular-Lindelöf spaces, which contains the class of all cellular-Lindelöf...
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Mean dimension of continuous cellular automata
We investigate the mean dimension of a cellular automaton (CA for short) with a compact non-discrete space of states. A formula for the mean...
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Cellular-compact spaces and their applications
We introduce the notion of a cellular-compact space and prove that cellular compactness is a nice property that implies cellular Lindelöfness. The...
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Tropical Compactification via Ganter’s Algorithm
We describe a canonical compactification of a polyhedral complex in Euclidean space. When the recession cones of the polyhedral complex form a fan,...
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Global Threshold Dynamics of an Infection Age-Space Structured HIV Infection Model with Neumann Boundary Condition
This paper aims to the investigation of the global threshold dynamics of an infection age-space structured HIV infection model. The model is...
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Cellular Homology
In Example 5.30 , we saw that the Mayer–Vietoris sequence gives us good control on the effect on homology...
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Algebraic frames in which dense elements are above dense compact elements
A ring is called a zip ring (Carl Faith coined this term) if every faithful ideal contains a finitely generated faithful ideal. By first proving that...
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Locally analytic representations in the étale coverings of the Lubin-Tate moduli space
The Lubin-Tate moduli space X
0 rig is a p -adic analytic open unit polydisc which parametrizes deformations of a formal group H 0 of finite height... -
Right-Angled Spaces and Groups
The notion of a “polyhedral product” of a collection of spaces (or pairs of spaces) indexed by the vertex set I of a simplicial complex L is used to...
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On cellular-compactness and related properties
We study three subclasses of the class of pseudocompact spaces. We answer two open questions concerning cellular-compact spaces and another...
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A Note on the Entropy for Heisenberg Group Actions on the Torus
In this paper, the entropy of discrete Heisenberg group actions is considered. Let α be a discrete Heisenberg group action on a compact metric space X. ...
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Generalized Virtual Polytopes and Quasitoric Manifolds
AbstractWe develop a theory of volume polynomials of generalized virtual polytopes based on the study of topology of affine subspace arrangements in...
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Symplectic Coordinates on the Deformation Spaces of Convex Projective Structures on 2-Orbifolds
Let 𝒪 be a closed orientable 2-orbifold of negative Euler characteristic. Huebschmann constructed the Atiyah-Bott-Goldman type symplectic form ω on...
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On the logarithmic coarse structures of Lie groups and hyperbolic spaces
We characterize the Lie groups with finitely many connected components that are O ( u )-bilipschitz equivalent (almost quasiisometric in the sense that...
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Dimer Algebras, Ghor Algebras, and Cyclic Contractions
A ghor algebra is the path algebra of a dimer quiver on a surface, modulo relations that come from the perfect matchings of its quiver. Such algebras...
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Multiparameter Persistent Homology via Generalized Morse Theory
We define a class of multiparameter persistence modules that arise from a one-parameter family of functions on a topological space and prove that...
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Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems
We consider optimal control problems for discrete-time random dynamical systems, finding unique perturbations that provoke maximal responses of...
