Results 1 to 10 of about 823 (59)
Regular-closed, Urysohn-closed and completely Hausdorff-closed spaces. [PDF]
Proceedings of the American Mathematical Society, 1970 Recently M. P. Berri, J. R. Porter, and R. M. Stephenson, Jr. have given a survey on P P -closed and P P -minimal spaces. In the present paper the first two problems of this survey will be solved: (1) The product of two Urysohn-closed spaces need not be Urysohn-closed.
Horst Herrlich
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Fuzzy Ce-I(ec, eo) and Fuzzy Completely Ce-I(rc, eo) Functions via Fuzzy e-Open Sets. [PDF]
ScientificWorldJournal, 2016 We introduced the notions of fuzzy Ce‐I(ec, eo) functions and fuzzy completely Ce‐I(rc, eo) functions via fuzzy e‐open sets. Some properties and several characterization of these types of functions are investigated.
Seenivasan V, Kamala K.
europepmc +2 more sources
Nonnegative scalar curvature on manifolds with at least two ends
Journal of Topology, Volume 16, Issue 3, Page 855-876, September 2023., 2023 Abstract Let M$M$ be an orientable connected n$n$‐dimensional manifold with n∈{6,7}$n\in \lbrace 6,7\rbrace$ and let Y⊂M$Y\subset M$ be a two‐sided closed connected incompressible hypersurface that does not admit a metric of positive scalar curvature (abbreviated by psc). Moreover, suppose that the universal covers of M$M$ and Y$Y$ are either both spin
Simone Cecchini +2 more
wiley +1 more source
Open projections and Murray–von Neumann equivalence
Bulletin of the London Mathematical Society, Volume 55, Issue 4, Page 1808-1816, August 2023., 2023 Abstract We characterize the C★$C^\star$‐algebras for which openness of projections in their second duals is preserved under Murray–von Neumann equivalence. They are precisely the extensions of commutative C★$C^\star$‐algebras by annihilator C★$C^\star$‐algebras.
Masayoshi Kaneda, Thomas Schick
wiley +1 more source
Some Results on Pixley–Roy Hyperspaces
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we prove that if a space X has a point‐countable cn‐network, then the Pixley‐Roy hyperspace PR[X] also has a point‐countable cn‐network. If X is a regular space with a point‐countable ck‐network, then so does the Pixley‐Roy hyperspace PR[X].
Ljubiša D. R. Kočinac +3 more
wiley +1 more source
Strengthened inequalities for the mean width and the ℓ‐norm
Journal of the London Mathematical Society, Volume 104, Issue 1, Page 233-268, July 2021., 2021 Abstract Barthe proved that the regular simplex maximizes the mean width of convex bodies whose John ellipsoid (maximal volume ellipsoid contained in the body) is the Euclidean unit ball; or equivalently, the regular simplex maximizes the ℓ‐norm of convex bodies whose Löwner ellipsoid (minimal volume ellipsoid containing the body) is the Euclidean unit
Károly J. Böröczky +2 more
wiley +1 more source
Theoretical Economics, Volume 16, Issue 2, Page 539-570, May 2021., 2021 We introduce a model of random ambiguity aversion. Choice is stochastic due to unobserved shocks to both information and ambiguity aversion. This is modeled as a random set of beliefs in the maxmin expected utility model of Gilboa and Schmeidler (1989).
Jay Lu
wiley +1 more source
Complete Hausdorffness and Complete Regularity on Supra Topological Spaces
Journal of Applied Mathematics, Volume 2021, Issue 1, 2021., 2021 The supra topological topic is of great importance in preserving some topological properties under conditions weaker than topology and constructing a suitable framework to describe many real‐life problems. Herein, we introduce the version of complete Hausdorffness and complete regularity on supra topological spaces and discuss their fundamental ...
T. M. Al-shami, Dan Huang
wiley +1 more source
Some New Variants of Relative Regularity via Regularly Closed Sets
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 Every topological property can be associated with its relative version in such a way that when smaller space coincides with larger space, then this relative property coincides with the absolute one. This notion of relative topological properties was introduced by Arhangel’skii and Ganedi in 1989.
Sehar Shakeel Raina +2 more
wiley +1 more source
On extension functions for image space with different separation axioms [PDF]
, 2016 In this paper we study a sufficient conditions for continuous and almost continuous extensions of f to space X for an image space Y with different separation axioms.Comment: 11 ...
Osipov, Alexander V.
core +2 more sources