EuDML | Browse

Every crowded space $X$ is $ω$ -resolvable in the c.c.c. generic extension $V^{Fn (| X |, 2)}$ of the ground model. We investigate what we can say about $λ$ -resolvability in c.c.c. generic extensions for $λ > ω$ . A topological space is monotonically $ω_{1}$ -resolvable if there is a function $f : X \to ω_{1}$ such that ${x \in X : f (x) \geq α} \subset^{d e n s e} X$ for each $α < ω_{1}$ . We show that given a $T_{1}$ space $X$ the following statements are equivalent: (1) $X$ is $ω_{1}$ -resolvable in some c.c.c. generic extension; (2) $X$ is monotonically $ω_{1}$ -resolvable; (3) $X$ is $ω_{1}$ -resolvable in the Cohen-generic extension $V^{Fn (ω_{1}, 2)}$ ....

Resolving a question of Arkhangel'skiĭ's

Michael G. Charalambous (2006)

Fundamenta Mathematicae

We construct in ZFC a cosmic space that, despite being the union of countably many metrizable subspaces, has covering dimension equal to 1 and inductive dimensions equal to 2.

Results and problems concerning compactifications, compact subtopologies, and mappings

Sam Nadler, J. Quinn, Harold Reiter (1975)

Fundamenta Mathematicae

Results on common fixed points.

Liu, Zeqing, Ume, Jeong Sheok (2001)

International Journal of Mathematics and Mathematical Sciences

Results on controlling the residuals of perturbed Newton-like methods on Banach spaces with a convergence structure.

Argyros, Ioannis K. (1995)

Southwest Journal of Pure and Applied Mathematics [electronic only]

Results on fixed point theorems

J. Achari (1978)

Matematički Vesnik

Results On Non-Unique Fixed Points

J. Achari (1979)

Publications de l'Institut Mathématique

Results on non-unique fixed points.

J. Achari (1979)

Publications de l'Institut Mathématique [Elektronische Ressource]

Results on the existence and convergence of best proximity points.

Abkar, Ali, Gabeleh, Moosa (2010)

Fixed Point Theory and Applications [electronic only]

Retract varieties of monounary algebras

Danica Jakubíková-Studenovská (1997)

Czechoslovak Mathematical Journal

Rétractes Absolus de Voisinage Algébriques

Cauty, Robert (2005)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 54C55, 54H25, 55M20.We introduce the class of algebraic ANRs. It is defined by replacing continuous maps by chain mappings in Lefschetz’s characterization of ANRs. To a large extent, the theory of algebraic ANRs parallels the classical theory of ANRs. Every ANR is an algebraic ANR, but the class of algebraic ANRs is much larger; the most striking difference between these classes is that every locally equiconnected metrisable space is an algebraic ANR, whereas...

Currently displaying 261 – 280 of 307

Previous Page 14 Next

Displaying 261 – 280 of 307

Residuality of the set of embeddings into Nagata's n-dimensional universal spaces

Residually finite congruences and quasi-regular subsets in uniform algebras

RESIDUATION IN SEMIGROUPS OF PRE-CLOSURES.

Resolutions of spaces and proper inverse systems in shape theory

Resolutions Of Spaces Are Strong Expansions

Resolvability in c.c.c. generic extensions