Merging man & maths https://www.mathcity.org/ Tue, 09 Jun 2026 17:09:28 +0000 FeedCreator 1.8 https://www.mathcity.org/_media/logo.svg https://www.mathcity.org/ https://www.mathcity.org/atiq/s625-mth251 MTH251: Set Topology (Spring 25) [MTH251 Set Topology] Set topology is a branch of mathematics that studies the properties of shapes and spaces that remain unchanged even if they are stretched, twisted, or deformed (without tearing or gluing). It helps us understand concepts like continuity, connectedness, and boundaries.$\mathbb{R}$$T_1$$\mathbb{Z}$$A=\{1,2,3,...,20\}$$\mathbb{R}$$\mathbb{Q}$$\mathbb{R}$$A=\left\{1,\frac{1}{2},\frac{1}{3},... \right\}$$A$$\mathbb{R}$$A=\mathbb{N}$$B=\{1,2,3,.… anonymous@undisclosed.example.com (Anonymous) Sun, 01 Feb 2026 14:28:11 +0000 https://www.mathcity.org/atiq/sp18-mth251 MTH251: Set Topology (Spring 18) [Set Topology] Topology is an important branch of mathematics that studies all the “qualitative” or “discrete” properties of continuous objects such as manifolds, i.e. all the properties that aren't changed by any continuous transformations except for the singular (infinitely extreme) ones.$\mathbb{R}$$T_1$$\mathbb{Z}$$A=\{1,2,3,...,20\}$$\mathbb{R}$$\mathbb{Q}$$\mathbb{R}$$A=\left\{1,\frac{1}{2},\frac{1}{3},... \right\}$$A$$\mathbb{R}$$A=\mathbb{N}$$B=\{1,2,3,.… anonymous@undisclosed.example.com (Anonymous) Fri, 07 Feb 2025 11:25:49 +0000 https://www.mathcity.org/atiq/sp25-mth251 MTH251: Set Topology (Spring 25) [MTH251 Set Topology] Set topology is a branch of mathematics that studies the properties of shapes and spaces that remain unchanged even if they are stretched, twisted, or deformed (without tearing or gluing). It helps us understand concepts like continuity, connectedness, and boundaries.$\mathbb{R}$$T_1$$\mathbb{Z}$$A=\{1,2,3,...,20\}$$\mathbb{R}$$\mathbb{Q}$$\mathbb{R}$$A=\left\{1,\frac{1}{2},\frac{1}{3},... \right\}$$A$$\mathbb{R}$$A=\mathbb{N}$$B=\{1,2,3,.… anonymous@undisclosed.example.com (Anonymous) Tue, 29 Apr 2025 10:10:47 +0000 https://www.mathcity.org/atiq/math-510 MATH-510: Topology Topology is an important branch of mathematics that studies all the “qualitative” or “discrete” properties of continuous objects such as manifolds, i.e. all the properties that aren't changed by any continuous transformations except for the singular (infinitely extreme) ones.$(T_0, T_1, T_2)$$\mathbb{R}$$X=\{a\}$$X$$X$$X$$\tau$$\mathbb{N}$$\tau$$(\mathbb{Z}, \tau)$$\mathbb{N}$$\tau$$A=\{\pm 100,\pm 101, \pm 102, ... \}$$\tau$$E=\{0,\pm 2,\pm 4,...\}$$\tau$$\tau$$B=\{1,2,3,...… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:40:25 +0000 https://www.mathcity.org/atiq/math-510-s2012 MATH-510: Topology Objectives of the course This is an introductory course in topology, giving the basics of the theory. Course contents Topological spaces, bases and sub-bases, first and second axiom of countability, separability, continuous functions and homeomorphism, finite product space. Separation axioms $(T_0, T_1, T_2)$ anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:40:24 +0000 https://www.mathcity.org/atiq/fa24-mth731 MTH731: Topology [MTH731 Topology] Contents Introduction to Topological Structures and basic concepts (Revision) Topological Groups, Connected Spaces, Path Connected Spaces, Compact Spaces, Locally Connectedness and Locally Compactness, Homeomorphism and Topological Properties, n-spheres and Projective Spaces, The Separation axioms, Normal Spaces, The Urysohn Lemma, Numerability axioms, Covering spaces, The Tychnoff Theorem, Paracompact spaces, Manifolds (Brief Introduction), Imbedding of Man… anonymous@undisclosed.example.com (Anonymous) Wed, 25 Dec 2024 18:38:41 +0000