Results 11 to 20 of about 141 (41)
A Novel Proof of the Heine-Borel Theorem [PDF]
, 2008 Every beginning real analysis student learns the classic Heine-Borel theorem, that the interval [0,1] is compact. In this article, we present a proof of this result that doesn't involve the standard techniques such as constructing a sequence and ...
Macauley, Matthew +2 more
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Baire-one mappings contained in a usco map [PDF]
, 2006 We investigate Baire-one functions whose graph is contained in a graph of usco mapping. We prove in particular that such a function defined on a metric space with values in $\mathbb{R}^d$ is the pointwise limit of a sequence of continuous functions with ...
Kalenda, Ondřej F. K.
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Sums of two dimensional spectral triples
, 2006 We study countable sums of two dimensional modules for the continuous complex functions on a compact metric space and show that it is possible to construct a spectral triple which gives the original metric back.
Christensen, Erik, Ivan, Cristina
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Function block for Simatic, Sinamics devices applied in position applications [PDF]
, 2009 Cílem této bakalářské práce bylo vytvořit sadu funkčních bloků a funkcí, pomocí nichž by komunikoval programovatelný automat (PLC) Siemens S7-300 s frekvenčním měničem Siemens Sinamics S120.
Hložek, Vojtěch
core
Quasi-metric spaces, quasi-metric hyperspaces and uniform local compactness [PDF]
, 1999 We show that every locally compact quasi-metrizable Moore space admits a uniformly locally compact quasi-metric. We also observe that every equinormal quasi-metric is cofinally complete.
Künzi, Hans-Peter A. +1 more
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, 2010 Using isometric embedding of metric trees into Banach spaces, this paper will investigate barycenters, type and cotype, and various measures of compactness of metric trees.
Aksoy, Asuman Guven, Oikhberg, Timur
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On one-point metrizable extensions of locally compact metrizable spaces [PDF]
, 2012 For a non-compact metrizable space $X$, let ${\mathcal E}(X)$ be the set of all one-point metrizable extensions of $X$, and when $X$ is locally compact, let ${\mathcal E}_K(X)$ denote the set of all locally compact elements of ${\mathcal E}(X)$ and ...
Koushesh, M. R.
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Some Comments on Edelstein’s Fixed Point Theorems in ν-Generalized Metric Spaces [PDF]
, 2018 We study deeply two fixed point theorems in n-generalized metric spaces. The two theorems are generalizations of the famous, Edelstein’s fixed point theorem in compact metric ...
Suzuki Tomonari
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Discrete Homotopy Theory and Critical Values of Metric Spaces [PDF]
, 2012 Utilizing the discrete homotopy methods developed for uniform spaces by Berestovskii-Plaut, we define the critical spectrum Cr(X) of a metric space, generalizing to the non-geodesic case the covering spectrum defined by Sormani-Wei and the homotopy ...
Conant, Jim +6 more
core
Convergence and quantale-enriched categories [PDF]
, 2017 Generalising Nachbin's theory of "topology and order", in this paper we continue the study of quantale-enriched categories equipped with a compact Hausdorff topology.
Hofmann, Dirk, Reis, Carla
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