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Submitted by nabinjana on 6 September, 2014 - 13:24

Date/Time:

Monday, September 8, 2014 - 11:35 to 12:35

Venue:

LH-101

Speaker:

Abhash Kumar Jha

Affiliation:

NISER, Bhubaneswar

Title:

The Stone-Čech Compactiﬁcation

Abstract: By a compactification of a topological space $X$ we meant a compact Hausdorff space $K$, together with an embedding $e$ from $X$ to $K$ such that image of $X$ is dense in $K$. In this talk we shall discuss about a particular type of compactification namely Stone- Cech compactification and prove that for a Tychonoff space Stone - Cech compactification exists. We shall also give explicit construction of this compactification for given $X$ and discuss some properties which inherits from $X$ to it's compactification.

**School of Mathematical Sciences**

NISER, PO- Bhimpur-Padanpur, Via- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

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