M. R. Koushesh

activity

20122018

most citedOne-point extensions of locally compact paracompact spaces

10 citations · 38 across the 22 of their papers we have counts for

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13 papers · 1 filter

math.GN2017

The existence of one-point connectifications

M. R. Koushesh

P. Alexandroff proved that a locally compact $T_{2}$ -space has a $T_{2}$ one-point compactification (obtained by adding a "point at infinity") if and only if it is non-compact. He also…

math.GN2017

Connectifying a space by adding one point

M. R. Koushesh

It is a classical theorem of Alexandroff that a locally compact Hausdorff space has a one-point Hausdorff compactification if and only if it is non-compact. The one-point Hausdorff…

math.GN2015

Topological extensions with compact remainder

M. R. Koushesh

Let $P$ be a topological property. We study the relation between the order structure of the set of all $P$ -extensions of a completely regular space $X$ with c…

math.GN2014

Connectedness modulo an ideal

M. R. Koushesh

For a topological space $X$ and an ideal $H$ of subsets of $X$ we introduce the notion of connectedness modulo $H$ . This notion of connectedness naturally gener…

math.GN2013★ 3 cited

One-point connectifications

M. R. Koushesh

A space Y is called an extension of a space X if Y contains X as a dense subspace. An extension Y of X is called a one-point extension if Y-X is a singleton. Compact extensions are…

math.GN2012

Embedding measure spaces

M. R. Koushesh

For a given measure space $(X, B, μ)$ we construct all measure spaces $(Y, C, λ)$ in which $(X, B, μ)$ is embeddable. The construction is modeled on the…

math.GN2012★ 1 cited

One-point extensions and local topological properties

M. R. Koushesh

A space $Y$ is called an extension of a space $X$ if $Y$ contains $X$ as a dense subspace. An extension $Y$ of $X$ is called a one-point extension of $X$ if $Y \ X$ is a si…

math.GN2012★ 1 cited

On one-point metrizable extensions of locally compact metrizable spaces

M. R. Koushesh

For a non-compact metrizable space $X$ , let $E (X)$ be the set of all one-point metrizable extensions of $X$ , and when $X$ is locally compact, let $E_{K} (X)$ den…

math.GN2012

On order structure of the set of one-point Tychonoff extensions of a locally compact space

M. R. Koushesh

If a Tychonoff space $X$ is dense in a Tychonoff space $Y$ , then $Y$ is called a Tychonoff extension of $X$ . Two Tychonoff extensions $Y_{1}$ and $Y_{2}$ of $X$ are said to be equivale…

math.GN2012★ 10 cited

One-point extensions of locally compact paracompact spaces

M. R. Koushesh

A space $Y$ is called an {\em extension} of a space $X$ if $Y$ contains $X$ as a dense subspace. Two extensions of $X$ are said to be {\em equivalent} if there is a homeomorphism b…

math.GN2012

The partially ordered set of one-point extensions

M. R. Koushesh

A space $Y$ is called an {\em extension} of a space $X$ if $Y$ contains $X$ as a dense subspace. Two extensions of $X$ are said to be {\em equivalent} if there is a homeomorphism b…

math.GN2012★ 2 cited

Compactification-like extensions

M. R. Koushesh

Let $X$ be a space. A space $Y$ is called an extension of $X$ if $Y$ contains $X$ as a dense subspace. For an extension $Y$ of $X$ the subspace $Y \ X$ of $Y$ is called the…

math.GN2012★ 9 cited

Connectedness modulo a topological property

M. R. Koushesh

Let $P$ be a topological property. We say that a space $X$ is $P$ -connected if there exists no pair $C$ and $D$ of disjoint cozero-sets of $X$ with non-${\mat…