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Displaying 1421 – 1440 of 1530

On z◦ -ideals in C(X)

F. Azarpanah, O. Karamzadeh, A. Rezai Aliabad (1999)

Fundamenta Mathematicae

An ideal I in a commutative ring R is called a z°-ideal if I consists of zero divisors and for each a ∈ I the intersection of all minimal prime ideals containing a is contained in I. We characterize topological spaces X for which z-ideals and z°-ideals coincide in , or equivalently, the sum of any two ideals consisting entirely of zero divisors consists entirely of zero divisors. Basically disconnected spaces, extremally disconnected and P-spaces are characterized in terms of z°-ideals. Finally,...

On zero-dimensional mappings and commutative algebra

Zarelua, A. (1977)

General topology and its relations to modern analysis and algebra IV

On zero-dimensionality of subgroups of locally compact groups

Dmitriĭ B. Shakhmatov (1991)

Commentationes Mathematicae Universitatis Carolinae

Improving the recent result of the author we show that $ind H = 0$ is equivalent to $dim H = 0$ for every subgroup $H$ of a Hausdorff locally compact group $G$ .

On $α$ -continuous functions

Takashi Noiri (1984)

Časopis pro pěstování matematiky

On $α$ -continuous functions

Dragan S. Janković, Ch. Konstadilaki-Savvopoulou (1992)

Mathematica Bohemica

Classes of functions continuous in various senses, in particular $θ$ -continuous, $α$ -continuous, feeblz continuous a.o., and relations between the classes, are studied.

On $α$ -distance in three dimensional space.

Gelişgen, Özcan, Kaya, Rüstem (2006)

APPS. Applied Sciences

On $α$ -embedded sets and extension of mappings

Olena Karlova (2013)

Commentationes Mathematicae Universitatis Carolinae

We introduce and study $α$ -embedded sets and apply them to generalize the Kuratowski Extension Theorem.

On $α$ -level topological groups.

Salih, Haval Mahmood Mahamad, Borumand Saeid, Arsham (2009)

Acta Universitatis Apulensis. Mathematics - Informatics

On $α$ -normal and $β$ -normal spaces

Aleksander V. Arhangel'skii, Lewis D. Ludwig (2001)

Commentationes Mathematicae Universitatis Carolinae

We define two natural normality type properties, $α$ -normality and $β$ -normality, and compare these notions to normality. A natural weakening of Jones Lemma immediately leads to generalizations of some important results on normal spaces. We observe that every $β$ -normal, pseudocompact space is countably compact, and show that if $X$ is a dense subspace of a product of metrizable spaces, then $X$ is normal if and only if $X$ is $β$ -normal. All hereditarily separable spaces are $α$ -normal. A space is normal if and...

On $β$ - $I$ -open sets and a decomposition of almost- $I$ -continuity.

Hatir, E., Noiri, T. (2006)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

On β-favorability of the strong Choquet game

László Zsilinszky (2011)

Colloquium Mathematicae

In the main result, partially answering a question of Telgársky, the following is proven: if X is a first countable R₀-space, then player β (i.e. the EMPTY player) has a winning strategy in the strong Choquet game on X if and only if X contains a nonempty $W_{δ}$ -subspace which is of the first category in itself.

On $δ$ -continuous selections of small multifunctions and covering properties

Alessandro Fedeli, Jan Pelant (1991)

Commentationes Mathematicae Universitatis Carolinae

The spaces for which each $δ$ -continuous function can be extended to a $2 δ$ -small point-open l.s.cṁultifunction (resp. point-closed u.s.cṁultifunction) are studied. Some sufficient conditions and counterexamples are given.

On $δ D$ -sets and associated weak separation axioms.

Caldas, M., Jafari, S. (2002)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

On Δ-spaces and fundamental dimension in the sense of Borsuk

Yukihiro Kodama (1975)

Fundamenta Mathematicae

On $θ$ - $C$ -open sets.

Baker, C.W. (1992)

International Journal of Mathematics and Mathematical Sciences

On $θ$ -closed sets and some forms of continuity

Mohammad Saleh (2004)

Archivum Mathematicum

In this paper, we further the study of $θ$ -compactness a generalization of quasi-H-closed sets and its applications to some forms of continuity using $θ$ -open and $δ$ -open sets. Among other results, it is shown a weakly $θ$ -retract of a Hausdorff space $X$ is a $δ$ -closed subset of $X$ .

Currently displaying 1421 – 1440 of 1530

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Displaying 1421 – 1440 of 1530

On z◦ -ideals in C(X)

On zero-dimensional mappings and commutative algebra

On zero-dimensionality of subgroups of locally compact groups

On $α$ -continuous functions

On $α$ -continuous functions

On $α$ -distance in three dimensional space.

On $α$ -embedded sets and extension of mappings

On $α$ -level topological groups.

On $α$ -normal and $β$ -normal spaces

On $β$ - $I$ -open sets and a decomposition of almost- $I$ -continuity.

On β-favorability of the strong Choquet game

On $δ$ -continuous selections of small multifunctions and covering properties

On $δ D$ -sets and associated weak separation axioms.

On Δ-spaces and fundamental dimension in the sense of Borsuk

On $θ$ - $C$ -open sets.

On $θ$ -closed sets and some forms of continuity

On $θ$ -continuity and strong $θ$ -continuity.

On $θ$ -generalized closed sets.

On $θ$ -precontinuous functions.

On $Θ$ -regular spaces.

Currently displaying 1421 – 1440 of 1530