Hasil untuk "math.GN"

Yuji Akaike

In this paper, for the $n$-dimensional Euclidean space $\Bbb R^n$ with the usual metric and $n\geq2$, we show that the sublinear Higson corona of $\Bbb R^n$ is not locally connected at any point and is mutually aposyndetic.

Prasanta Malik, Saikat Das

In this paper we introduce the notions of statistical convergence and statistical Cauchyness of sequences in a metric-like space. We study some basic properties of these notions

Vlad Smolin

Answering a question posed by Vladimir Tkachuk, we prove that every $T_1$ connected first-countable space is a continuous open image of a connected metrizable space.

A. Karassev, E. Shchepin, V. Valov

It is shown that any homeomorphism between two compact subsets of $\mathbb N^τ$ can be extended to an autohomeomorphism of $\mathbb N^τ$.

Huaipeng Chen, Bosen Wang

In accordance with $M_3$-structures in paper [4], we construct a stratifiable space which is not $M_1$-spaces.

Taras Radul

We investigate under which conditions the space of idempotent measures is an absolute retract and the idempotent barycenter map is soft.

Alexander V. Osipov

In this paper we consider some properties of a space B(X) of Borel functions on a set of reals X, with pointwise topology, that are stronger than separability.

Alexander V. Osipov

In this paper we study the property of separability of functional space with the open-point and bi-point-open topologies.

Olena Karlova

We generalize the Lebesgue-Hausdorff Theorem on Baire classification of mappings defined on strongly zero-dimensional spaces

Raushan Z. Buzyakova

We identify a condition on X that guarantees that any finite power of X is homeomorphic to a subspace of a linearly ordered space

Gustavo N. Rubiano

Starting from filters over the set of indices, we introduce structures in a product of sets where the coordinate sets have the given structures.

Xu Yuming

We studied the relationships between Collins-Roscoe mechanism and D-spaces, proved that well-ordered (F) spaces are D-spaces. This positively answered a question asked by D.Soukup and Y.Xu before.

Santi Spadaro

We give a simple proof of the increasing strengthening of Arhangel'skii's Theorem. Our proof naturally leads to a refinement of this result of Juhász.

Boaz Tsaban

In addition to announcements of several new papers, this issue contains a brief personal memorandum for Misha Matveev. The issue also announces the coming SPM meeting (June 2012).

Ruhollah Tavakoli

The goal of this article is to introduce some beautiful known riddles in intuitive topology; hoping to make at least some fun for the reader.

Marion Scheepers

If it is consistent that there is a measurable cardinal, then it is consistent that all points g-delta Rothberger spaces have "small" cardinality.

Eiichi Matsuhashi

We show that the property of having cut-points is not a Whitney reversible property. This answers in the negative a question posed by Illanes and Nadler.

S. Ovchinnikov

We show, following W. Holsztynski, that there exists a continuous metric d on the set of real numbers R such that any finite metric space is isometrically embeddable into (R,d).

Edwin Duda

This paper is concerned with conditions under which a metric continuum (a compact connected metric space) contains a non-degenerate chainable continuum.

Michael Levin, Wayne Lewis

We present some results related to theorems of Pasynkov and Torunczyk on the geometry of maps of finite dimensional compacta.