Zobrazeno 1 - 10 of 21 pro vyhledávání: '"Kandasamy Muthuvel"'
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Akademický článek
Composition of functions
Autor: Kandasamy Muthuvel
Publikováno v: International Journal of Mathematics and Mathematical Sciences, Vol 24, Iss 3, Pp 213-216 (2000)
We prove that if f and g are functions from the reals into the reals such that the composition of g with f is continuous and f is both Darboux and surjective, then g is continuous. We also prove that continuous and Darboux can be interchanged in the
Externí odkaz: https://doaj.org/article/009105a33c904771bfa6656fe8ed19de
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2
Free sets for set mappings satisfying some intersection conditions
Autor: Kandasamy Muthuvel
Publikováno v: Topology and its Applications. 183:127-129
Let f be a set mapping from a set X into the power set of X. A subset A of X is said to be free for f if x ∉ f ( y ) ∀ x , y ∈ A and x ≠ y . For cardinals η and θ, we say that f satisfies the intersection condition C ( η , θ ) if | ⋂ f
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::abb4f2b08971ba51d615d43d9112e466
https://doi.org/10.1016/j.topol.2015.01.001
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4
On nowhere weakly symmetric functions and functions with two-element range
Autor: Krzysztof Ciesielski, Kandasamy Muthuvel, Andrzej Nowik
Publikováno v: Fundamenta Mathematicae. 168:119-130
A function f : R →{ 0, 1} is weakly symmetric (resp. weakly symmetri- cally continuous) at x ∈ R provided there is a sequence hn → 0 such that f (x + hn )= f (x − hn )= f (x )( resp.f (x + hn )= f (x − hn)) for every n. We characterize the
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b05ebbc6c6c441738928692cddfa7fdb
https://doi.org/10.4064/fm168-2-3
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6
Nowhere dense set mappings on the generalized linear continua
Autor: Kandasamy Muthuvel
Publikováno v: Order. 7:179-182
A set $$A \subseteq X$$ is free for a set mapping F:X→P(X) provided x∉F(y) for any distinct x, y in A. If F maps the reals R into nowhere dense subsets of R, then Bagemihl proved that there is an everywhere dense free set for F, and assuming CH H
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ebb773f69ec4bde33c918a62877c56b0
https://doi.org/10.1007/bf00383765
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7
Weakly Symmetric Functions and Weakly Symmetrically Continuous Functions
Autor: Kandasamy Muthuvel
Publikováno v: Real Anal. Exchange 40, no. 2 (2015), 455-458
We prove that there exists a nowhere weakly symmetric function $f: \mathbb{R} \rightarrow \mathbb{R}$ that is everywhere weakly symmetrically continuous and everywhere weakly continuous. Existence of a nowhere weakly symmetrically continuous function
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::33b760e3bf8c87467f8a721fe9314594
https://doi.org/10.14321/realanalexch.40.2.0455
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