On the Existence and Application of Hausdorff Space

Select Volume / Issue:

• Volume 10,Issue 1, Jan. 2022

Year:

2022

Type of Publication:

Article

Keywords:

Hausdorff Space, Topological Space, Distinct point, Bonding, Inert Gas

Authors:

David Delali Zigli; Samuel Amoako; Vivian Maanu; Matthew Adenyo

Journal:

IJISM

Volume:

10

Number:

1

Pages:

17-25

Month:

January

ISSN:

2347-9051

Abstract:

Hausdorff space is a topological space a separation property in that, any two distinct points can be separated by a disjoint open set - that is, whenever x and y are distinct points of a set X, then there exist disjoint open sets U_x and V_y such that U_x contains x and V_y contains y and U∩V=∅. This study aims at making Hausdorff Space real and stating some of its applications. The study employed the bonding of inert gases and fully describes the various types of bonding in the context of topology. The study compares two inert gases at a time, checking all possible ways to see if they can be bonded. That is, the two inert gases picked are two distinct points in the set X such that their intersection gives a null set. Because of their nonreactive nature and fully filled valence shells, the two inert gases cannot be bonded. Also, one application of Hausdorff Space was seen in controlling the COVID-19 pandemic, that is, social distancing. This is possible if we let two people say, x and y be in a room X together and they are not allowed to share anything in common and are to maintain a particular distance, say 1.5 metres to 2 metres, throughout the room. Then x and y are two distinct points of sets in the set X. This is social distancing and Hausdorff Space.

Full text: IJISM_966_FINAL.pdf [Bibtex]