Results 51 to 60 of about 433 (82)

Invariance of Ideal Limit Points

open access: yes, 2018
Let $\mathcal{I}$ be an analytic P-ideal [respectively, a summable ideal] on the positive integers and let $(x_n)$ be a sequence taking values in a metric space $X$.
Leonetti, Paolo
core   +1 more source

Pseudoradial Spaces: Finite Products and an Example From CH [PDF]

open access: yes, 1998
∗ The first named author’s research was partially supported by GAUK grant no. 350, partially by the Italian CNR. Both supports are gratefully acknowledged.
Simon, Petr, Tironi, Gino
core  

ℐ-sn-metrizable spaces and the images of semi-metric spaces

open access: yesOpen Mathematics
The theory of generalized metric spaces is an active topic in general topology. In this article, we utilize the concepts of ideal convergence and networks to discuss the metrization problem and the mutual classification problem between spaces and ...
Zhou Xiangeng   +3 more
doaj   +1 more source

Cardinal p and a theorem of Pelczynski

open access: yes, 2000
We show that it is consistent that for some uncountable cardinal k, all compactifications of the countable discrete space with remainders homeomorphic to $D^k$ are homeomorphic to each other.
Matveev, Mikhail
core   +1 more source

A DECOMPOSITION OF CONTINUITY ON F*– SPACES AND MAPPINGS ON SA*– SPACES

open access: yesSüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
: An ideal topological space (X,Ï„,I) is said to be an F* – space if A=Cl*(A) for every open set A ⊂ X. In this paper, a decomposition of continuity on F* – spaces is introduced.
A. ACIKGOZ
doaj  

Spaces of $u\tau$-Dunford-Pettis and $u\tau$-Compact Operators on Locally Solid Vector Lattices

open access: yes, 2018
Suppose $X$ is a locally solid vector lattice. It is known that there are several non-equivalent spaces of bounded operators on $X$. In this paper, we consider some situations under which these classes of bounded operators form locally solid vector ...
Gezer, Niyazi Anil   +2 more
core  

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