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Characterizing Inverse Sequences For Which Their Inverse Limits Are Homeomorphic
In [11], Mioduszewski characterized inverse sequences of polyhedra for which their inverse limits are homeomorphic. In this article, we obtain a more...
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Tree-likeness of inverse limits with set-valued bonding functions
In this paper, we establish conditions under which the inverse limits with set-valued bonding functions are tree-like continua. We show that if we...
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Map** Theorems for Inverse Limits with Set-Valued Bonding Functions
We revisit the results from two papers, Mioduszewski’s “Map**s of inverse limits” and Feuerbacher’s “Map**s of inverse limits revisited” to...
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Inverse Limits with Markov-Type Functions
In the paper, we introduce a new concept of Markov-type functions on trees allowing the graphs to be 2-dimensional. Also, we prove that two inverse...
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Map** Theorems for Rigid Continua and Their Inverse Limits
We give map** theorems for certain families of rigid continua; i.e., we prove a map** theorem for stars, paths and cycles of Cook continua. We...
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The C-S Inverse and Its Applications
In this paper, we introduce a generalized core inverse (called the C-S inverse) and give some properties and characterizations of the inverse. By...
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On Direct and Inverse Limits of Retractive Spectra Once Again
We prove that if an ∀∃-formula is true on the inverse limit of the retractive spectrum of algebras, then it is also true on the direct limit and...
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On the radial limits of map**s on Riemannian manifolds
We study the geometric properties of the map**s for which a generalized inverse Poletsky modular inequality holds. Our approach is on Riemannian...
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Half inverse problem and interior inverse problem for the Dirac operators with discontinuity
In this paper, the half inverse problem and interior inverse problems for Dirac operators with discontinuity inside the interval (0, T ) is...
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Inverse Problems for Trees
This chapter is devoted to the solution of the inverse problem for Schrödinger operators on metric trees.
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Strong Weighted GDMP Inverse for Operators
Various extensions of DMP-inverses have been proposed recently. Expressions involving G-Drazin inverses and the Moore–Penrose are known as...
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Limits and Colimits
Treats the general theory of (co)limits. Both are very general concepts which arise in various forms in all fields of mathematics. We introduce them...
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An Inverse Problem for an Age-Structured Population Dynamics Model with Migration Flows
AbstractAn inverse problem of reconstructing a coefficient in the differential equation of a model of development for a homogeneous biological...
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Big Ramsey degrees in universal inverse limit structures
We build a collection of topological Ramsey spaces of trees giving rise to universal inverse limit structures, extending Zheng’s work for the...
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Functions and Limits
In Chap. 5 , we have seen how sequences of real numbers and their limits behave. Now we are going to look at how...
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The CEPGD-Inverse for Square Matrices
This paper introduces a new class of generalized inverses for square matrices: core-EP G-Drazin (CEPGD) inverse. The CEPGD inverse is not unique and...
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The m-weak core inverse
Since the day the core inverse was known in a paper of Bakasarly and Trenkler, it has been widely researched. So far, there are four generalizations...
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Inverse nodal problem with eigenparameter boundary conditions
The reconstruction of potential function using nodal parameters is an inverse problem that has been studied in this work. An efficient and highly...
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Inverse Problems for Kelvin–Voigt System with Memory: Global Existence and Uniqueness
AbstractThis paper deals with the global unique solvability of two inverse problems for Kelvin–Voigt system with memory that governs the flow of...