Lec#62||Ordinal Numbers||Difference b/w Ordinal number and Cardinal number||Set Theory
Автор: Mathematics Instructor
Загружено: 2024-01-17
Просмотров: 1309
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Assalam-o-Alaikum Everyone!
Welcome to Mathematics Instructor. In the lecture series of set theory today we will discuss about Ordinal numbers and also compare it with cardinal numbers................
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Set theory lec#1:
• Lec#1||Set (Definition and Notation)||Set ...
Set theory lec#2:
• Lec#2||Representation of a Set||Tabular fo...
Set theory lec#3:
• Lec#3||Types of Set||Subset||Superset||Pow...
Set theory lec#4:
• Lec#4||Equipotent Set||Examples||Chapter#6...
Set theory lec#5:
• Lec#5||Prove that [0,1] ≈ [a,b] and [a,b]...
Set theory lec#6:
• Lec#6||Composition of two bijective functi...
Set theory lec#7:
• Lec#7||The relation of being Equipotent is...
Set theory lec#8:
• Lec#8||Example#6.2||Set Theory by Schaum's...
Set theory lec#9:
• Lec#9||Denumerable Set||Countable & Uncoun...
Set theory lec#10:
• Lec#10||Every Infinite Set contains a Denu...
Set theory lec#11:
• Lec#11||Every subset of a Denumerable set ...
Set theory lec#12:
• Lec#12|| If A is finite set & B is Denumer...
Set theory lec#13:
• Lec#13||A subset of Countable set is Count...
Set theory lec#14:
• Lec#14||A countable union of countable set...
Set theory lec#15:
• Lec#15||Union of two Denumerable sets is D...
Set theory lec#16:
• Lec#16||Set Q of Rational numbers is Denum...
Set theory lec#17:
• Видео
Set theory lec#18
• Lec#18||If A is an Infinite set & F is Fin...
Set theory lec#19:
• Lec#19||If A is an Uncountable set & B is ...
Set theory lec#20
• Lec#20||Prove that Closed interval [0,1] i...
Set theory lec#21:
• Lec#21||Characteristic Function||Prove tha...
Set theory lec#22:
• Lec#22||Power of Continuum||Cardinal Numbe...
Set theory lec#23:
• Lec#23||Ordering of Cardinal numbers||Set ...
Set theory lec#24:
• Lec#24|| Cantor's Theorem || Set Theory by...
Set theory lec#25:
• Lec#25||Prove that C=2^alph-naught||Set Th...
Set theory lec#26:
• Lec#26||Schroeder Bernstein Theorem||Set T...
Set theory lec#27:
• Lec#27||Cardinal Arithmetic||Addition of C...
Set Theory lec#28:
• Lec#28||Problem 6.27||If 𝛼 is any infinite...
Set theory lec#29:
• Lec#29||Cardinal Arithmetic||Multiplicatio...
Set theory lec#30:
• Lec#30||Problem 6.26||Prove that ℵ.𝑐=𝑐||Se...
Set theory lec#31:
• Lec#31||Properties of Addition & Multiplic...
Set theory lecture#32
• Lec#32||Exponent and Cardinal Numbers||Set...
Set theory lec#33:
• Lec#33||Theorem 6.16||Theorem of Exponents...
Set theory lec#34:
• Lec#34||Partially Ordered Sets||Set Theory...
Set theory lecture#35:
• Lec#35||Examples of Partially Ordered Set|...
Set theory lec#36:
• Lec#36||Dual Order||Quasi Order||Usual Ord...
Set theory lec#37:
• Lec#37||Comparability||Linearly Ordered or...
Set theory lec#38:
• Lec#38||Product Order||Product Order is Pa...
Set theory lec#39:
• Lec#39||Lexicographical Order||Dictionary ...
Set theory lec#40:
• Lec#40||Hasse Diagram||Immediate Predecess...
Set theory lec#41:
• Lec#41||Minimal Element||Maximal Element||...
Set theory lec#42:
• Lec#42||First Element||Last Element||Examp...
Set theory lec#43:
• Lec#43||Supremum and Infimum||Upper and Lo...
Set theory lec#44:
• Lec#44||Isomorphic(Similar) Ordered Sets||...
Set theory lec#45:
• Lec#45||Theorem 7.2||If S is linearly orde...
Set theory lec#46:
• Lec#46||Theorem 7.3||Set Theory by Schaum'...
Set theory lec#47:
• Lec#47||Theorem 7.4||If S is order isomorp...
Set theory lec#48:
• Lec#48||Theorem 7.5||The relation of order...
Set theory lec#49:
• Lec#49||Problem 7.31||Set Theory by Schaum...
Set theory lec#50:
• Lec#50||Problem 7.32||Set Theory by Schaum...
Set theory lec#51:
• Lec#51||Well Ordered Set||Theorem 8.1||Set...
Set theory lec#52:
• Lec#52||Concatenation or Sum Order||Limit ...
Set theory lec#53:
• Lec#53||Theorem 8.5||Every element in Well...
Set theory lec#54:
• Lec#54||Initial Segment||Theorem 8.6||Set ...
Set theory lec#55:
• Lec#55||Theorem 8.7/Problem 8.3||Theorem 8...
Set theory lec#56:
• Lec#56||Problem 8.6||Set Theory by Schaum'...
Set theory lec#57:
• Lec#57||Problem 8.7||Problem 8.8||Set Theo...
Set theory lec#58:
• Lec#58||Problem 8.9||Set Theory by Schaum'...
Set theory lec#59:
• Lec#59||Problem 8.10||Problem 8.11||Set Th...
Set theory lec#60:
• Lec#60||Problem 8.12/Theorem 8.10||Set The...
Set theory lec#61:
• Lec#61||Problem 8.13||Problem 8.14||Set Th...
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Topology lectures link:
• Topology
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Complex Analysis lectures:
• Complex Analysis-I by Dennis G. Zill
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