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Sierpinski cubical singular homology for finite spaces

Thesis Info

Author

Zaidi, Syed Hadi Ali

Program

MS

Institute

Institute of Business Administration

Institute Type

Private

City

Karachi

Province

Sindh

Country

Pakistan

Thesis Completing Year

2019

Page

45

Subject

Mathematics

Language

English

Other

CallNo: 518.25

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676720939267

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In this paper, we have developed a homology theory for finite spaces based on functions from Sierpinski topological space and its product topology to the finite space under consideration, which was called Sierpinski-cubical-singular homology. This homology satisfied all the Eilenberg-Steenrod axioms of homology theory' and thus isomorphic to the well-known homology theories such as simplicial homology theory, singular homology theory, etc. for finite spaces
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۳۷۔ نارسائی

نارسائی

 ایک مدت گزر گئی

گھر والوں سے کوئی فرمائش نہیں کی

ایک عرصے سے آئینہ نہیں دیکھا

دیکھوں بھی کیا ؟

خود کا چہرہ تو یاد نہیں

مجھ پر کونسا رنگ اچھا لگتا ہے؟

 معلوم نہیں

میں بال بنائوں تو کیسا لگتا ہوں؟

میں مسکرائوں تو کیسا لگتا ہوں ؟

میرا آئینہ بھی میرے اندر کی طرح لکیروں سے اٹا ہوا ہے

Effect of Apium Graveolens (Celery) Seed Extract on Serum Uric Acid Level of Hyperuricemic Rats and its Comparison with Allopurinol

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Rung Institute; Celebrating Pakistani Music Through Architecture

The culture of any given country is determined by their Art and Crafts. These stem from the people living in this country that form a society. This Society reacts to the times and their reactions are reflected in their Art. Music is one such form of art that expresses the emotional state. It is used to express love, sadness, happiness or even anger. If we look at the subcontinent, Sufism has had a major influence in the form of Music we perform. It gives a new direction to our composition in terms of the rich culture Sufism embodies. Sufi Poetry talks about the core beliefs of the Sufi about life and death and our relationship with our creator. This poetry is interpreted through the ages by Sufi saints in the form of Qawwali and Dance in some cultures. However, in Pakistan Qawwali has been the point of interest that has taken the hearts of our nation. This Thesis makes an effort at proposing “Rung Institute” that will be the Central point of preserving our heritage Music and making it available for future generations to come, along with providing safe spaces for the practice and learning of these forms of music. Rung Institution will also pay respect to all other forms of Music like modern, contemporary, Pop, Jazz etc. This will create a platform for our users to Celebrate Music and Transcend social boundaries to come together and collaborate.