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Homeomorphisms of Compact Sets in Certain Hausdorff Spaces
Published 2011-01-01“…We construct a class of Hausdorff spaces (compact and noncompact) with the property that nonempty compact subsets of these spaces that have the same cardinality are homeomorphic. Also, it is shown that these spaces contain compact subsets that are infinite.…”
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Homeomorphism and Quotient Mappings in Infrasoft Topological Spaces
Published 2021-01-01“…Then, we introduce the concepts of open, closed, and homeomorphism mappings in the content of infrasoft topology. …”
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On the Structure of Brouwer Homeomorphisms Embeddable in a Flow
Published 2012-01-01“…We present two theorems describing the structure of the set of all regular points and the set of all irregular points for a Brouwer homeomorphism which is embeddable in a flow. The theorems are counterparts of structure theorems proved by Homma and Terasaka. …”
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Asymptotic Properties of -Expansive Homeomorphisms on a Metric -Space
Published 2012-01-01“…Also, we show that the problem of studying -expansive homeomorphisms on a bounded subset of a normed linear -space is equivalent to the problem of studying linear -expansive homeomorphisms on a bounded subset of another normed linear -space.…”
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The Singularity of the <i>K</i><sub>4</sub> Homeomorphic Graph
Published 2024-12-01Subjects: Get full text
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Periodic solutions of nonlinear differential equations
Published 2000-01-01Subjects: Get full text
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Homeomorphism Mapping Based Neural Networks for Finite Time Constraint Control of a Class of Nonaffine Pure-Feedback Nonlinear Systems
Published 2019-01-01“…The procedure, based on homeomorphism mapping and backstepping, effectively deals with constraint control and design difficulty induced by pure-feedback structure. …”
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Recognition of Finite Bitopological Spaces with Unique Isolated Point
Published 2025-01-01Subjects: Get full text
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Miyaoka–Yau inequalities and the topological characterization of certain klt varieties
Published 2024-06-01Subjects: Get full text
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Micro $\alpha g $-irresolute Maps in Micro Topological Spaces
Published 2025-01-01Subjects: Get full text
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An Extension of Totohasina’s Normalization Theory of Quality Measures of Association Rules
Published 2019-01-01“…This paper presents an extension of it, as a new normalization method based on proper homographic homeomorphism that appears most consequent.…”
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Solutions for m-Point BVP with Sign Changing Nonlinearity
Published 2009-01-01“…We study the existence of positive solutions for the following nonlinear m-point boundary value problem for an increasing homeomorphism and homomorphism with sign changing nonlinearity: {(ϕ(u′(t)))′+a(t)f(t,u(t))=0, 0<t<1, u′(0)=∑i=1m−2aiu′(ξi), u(1)=∑i=1kbiu(ξi)−∑i=k+1sbiu(ξi)−∑i=s+1m−2biu′(ξi), where ϕ:R→R is an increasing homeomorphism and homomorphism and ϕ(0)=0. …”
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A Novel Fuzzy Structure: Infra-Fuzzy Topological Spaces
Published 2022-01-01“…We finish this work by proving that each infra-fuzzy homeomorphism between two infra-fuzzy topological spaces produces an isomorphism on groups of infra-fuzzy homeomorphisms of the corresponding spaces.…”
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Arcwise Connected Domains, Quasiconformal Mappings, and Quasidisks
Published 2014-01-01“…We prove that a homeomorphism f:R2→R2 is a quasiconformal mapping if and only if f(D) is an arcwise connected domain for any arcwise connected domain D⊆R2, and D is a quasidisk if and only if both D and its exterior D*=R2∖D¯ are arcwise connected domains.…”
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Surfaces of infinite-type are non-Hopfian
Published 2023-10-01“…Namely, an oriented surface $\Sigma $ is of finite-type if and only if every proper map $f\colon \,\Sigma \rightarrow \Sigma $ of degree one is homotopic to a homeomorphism.…”
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Stability Analysis of Cohen–Grossberg Type BAM Neural Network with Piecewise Constant Argument
Published 2023-01-01“…This paper introduces the stability problems of Cohen–Grossberg type BAM neural network (BAMCGNN) with piecewise constant argument (PCA). By employing the homeomorphism theory, sufficient conditions for the existence and uniqueness of the equilibrium point are obtained; using inequality technique and Lyapunov method, sufficient stability criteria for BAMCGNN with PCA are presented. …”
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