Results 31 to 38 of about 244 (38)
Localic maps constructed from open and closed parts [PDF]
, 2017 Assembling a localic map f:L→M from localic maps f_i:S_i→M, i∈J, defined on closed resp. open sublocales (J finite in the closed case) follows the same rules as in the classical case. The corresponding classical facts immediately follow from the behavior
Picado, Jorge, Pultr, Aleš
core +1 more source
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
core
On collectionwise Hausdorff bitopological spaces [PDF]
, 2012 In this work, we introduce the concept of collectionwise Hausdorff bitopological spaces by using p1 -open sets. Further, we also study the relations of collection wise Hausdorff spaces with some separation axioms and paralindeloff bitopological ...
Bouseliana, Hend M., Kilicman, Adem
core
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
core
Equiconnected spaces and Baire classification of separately continuous functions and their analogs
Open Mathematics, 2012 Karlova Olena +2 more
doaj +1 more source
, 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]).
Pasquale Vetro
openaire +2 more sources