Results 31 to 40 of about 265 (56)
, 1998 ∗ Financial support of the Grant Agency of the Czech Republic under the grant no 201/96/0119 and of the Grant Agency of the Charles University under the grant GAUK 149 is gratefully acknowledged.Co-connected spaces, i.e.
Trnková, Vera
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Mapping Properties of Co-existentially Closed Continua [PDF]
, 2005 A continuous surjection between compacta is called co-existential if it is the second of two maps whose composition is a standard ultracopower projection.
Bankston, Paul
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On the continuity of functions [PDF]
, 2007 Some theorems on continuity are presented. First we will prove that every convex function f :Rn -> R is continuous using nonstandard analysis methods. Then we prove that if the image of every compact (resp. convex) is compact (resp.
Almeida, R
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An Elementary Proof of The 2-Dimensional Version of The Brouwer Fixed Point Theorem [PDF]
, 2014 We give an elementary proof of the 2-dimensional version of the Brouwer fixed point theorem. The proof can be extended to the n-dimensional version naturally.
Suzuki Tomonari, Takeuchi Yukio
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Weakly ωb-Continuous Functions [PDF]
, 2011 In this paper we introduce a new class of functions called weakly ωb-Continuous functions and investigate several properties and characterizations. Connections with other existing concepts, such as ωb-Continuous and weakly b-continuous functions, are ...
Mustafa, Jamal M.
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Exception Sets of Intrinsic and Piecewise Lipschitz Functions. [PDF]
J Geom Anal, 2022 Leobacher G, Steinicke A.
europepmc +1 more source
A Frictionless Economy With Subotimizing Agents [PDF]
The existence of short-term monetary equilibrium in a frictionless economy with suboptimal agents is proved for any (reasonable) given interest rate. Separability ideas (as defined in Decision Theory) are applied.
José Manuel Gutiérrez
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Equiconnected spaces and Baire classification of separately continuous functions and their analogs
Open Mathematics, 2012 Karlova Olena +2 more
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2014
The author uses the Baire category theorem to prove the existence of nowhere differentiable functions in C([0,1]). Precisely, the author proves the following: Theorem 1. There exist continuous functions on the interval [0,1] which are nowhere differentiable. In fact, the collection of all such functions forms a dense subset of C([0,1]).
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The author uses the Baire category theorem to prove the existence of nowhere differentiable functions in C([0,1]). Precisely, the author proves the following: Theorem 1. There exist continuous functions on the interval [0,1] which are nowhere differentiable. In fact, the collection of all such functions forms a dense subset of C([0,1]).
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