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Showing 1 to 12 of 12 for “"continuous maps"”.
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Deformation retractions from spaces of continuous maps onto spaces of holomorphic maps
… property of an Oka manifold Y is that every continuous map from a Stein manifold X to Y can be deformed to a holomorphic map. In a recent paper, Larusson [19] considers the natural question of whether it is possible to simultaneously deform all continuous maps f from X to Y to holomorphic …
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Induced maps between intersection spaces
… CW-complexes and the following question: Which continuous maps between two compact pseudomanifolds with isolated singularities induce continuous maps between the corresponding intersection spaces, and when is this assignment functorial? Chapter 1 deals with the construction of a spatial homology …
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O-minimal homology
… for the category of definable sets and definable continuous maps in an o-minimal expansion of an ordered field. Both simplicial and singular homology functors are defined, and they are shown to satisfy the Eilenberg-Steenrod axioms. The singular homology functor is used to prove o-minimal …
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DEVELOPMENT OF DEM-BASED METHOD FOR MAPPING STREAM POWER DISTRIBUTION OF SOUTHERN ONTARIO STREAMS
… and cost-effective, objective and repeatable. Continuous maps of stream power can be obtained by extracting channel slope from DEMs and combining them with a discharge-drainage area function. Using the case of Highland Creek, a highly urbanized basin in Scarborough Ontario for which extensive …
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Closed orbits in quotient systems
If we have topological conjugacy between two continuous maps, T : X → X and T 0 : X0 → X0 , then counts of closed orbits and periodic points are preserved. However, if we only have topological semi-conjugacy between T and T 0 , then anything is possible, and there is, in general, no relationship …
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Making discrete decisions based on continuous values
… are cyber-physical systems that compute with continuous values; confirming their safety requires guaranteeing the accuracy of their computations. It is impossible for these systems to compute (total and deterministic) discrete computations (e.g., decisions) based on connected input spaces such …
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The pullback closure, perfect morphisms and completions
… and functor related properties of perfect continuous maps. Another theory, which has developed more recently, generalises the closure and compactness properties of perfect continuous maps. (We should note that this does not include the recent work in [Clementino, Giuli, Tholen 1995] which …
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A Relation-Algebraic Approach to L - Fuzzy Topology
… topology, consider bases of topological spaces, continuous maps, and the first two separation axioms T0 and T1. The resulting theory of L - fuzzy topological spaces provides the foundation for applications and algorithms in areas such as digital topology, i.e., analyzing images using topological …
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Lipschitz Geometry of Banach and Metric Spaces
<p>We will investigate Lipschitz and Hölder continuous maps between a Banach space X and its dual space X^*, the space of continuous linear functionals. The existence of these maps is related to the smoothness of the norm of the space and isomorphic invariants called type and cotype will play a …
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Interior algebras and topology
… between the category of topological spaces and continuous maps and the category of complete atomic interior algebras and maps known as complete topomorphisms (Theorem 2.1.7). Under this co-equivalence, continuous open maps correspond to complete homomorphisms (Theorem 2.1.8). We also establish a …
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Topics in metric geometry, combinatorial geometry, extremal combinatorics and additive combinatorics
… complete metric space $(X,d)$, a family of $n$ continuous maps $f_1,f_2,\dots,f_n\colon X\to X$ is a \emph{contractive family} if there exists $\lambda<1$ such that for any $x,y\in X$ we have $d(f_i(x),f_i(y))\leq\lambda d(x,y)$ for some $i$. In the first part of the thesis, we (i) construct a …
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Rank constrained homotopies of matrices and the Blackadar-Handelman conjectures on C*-algebras
… ≤ k</em>. We investigate homotopy equivalence of continuous maps from a compact Hausdorff space <em>X</em> into sets of the form <em>S</em>(<em>n,k,l</em>). From [37] it is known that for any <em>n</em>, if 4<em>dim X</em> ≤ <em>k-l</em> where <em>dim X</em> denote the covering dimension of …