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If X and Y 50 15 X XY. 956 Hansdorff, ton

If X and Y 50 15 X XY. 956 Hansdorff, ton

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The handwritten text on the image reads: "If X and Y are Hausdorff, then so is X x Y." **Explanation:** This statement refers to a concept in topology, a branch of mathematics. In topology, a Hausdorff space is one in which any two distinct points have disjoint neighborhoods. The statement suggests that if two spaces, X and Y, individually have the Hausdorff property, then their product space (denoted as X x Y) also has the Hausdorff property. This is an important property used in various fields within mathematics and its applications.
Transcribed Image Text:The handwritten text on the image reads: "If X and Y are Hausdorff, then so is X x Y." **Explanation:** This statement refers to a concept in topology, a branch of mathematics. In topology, a Hausdorff space is one in which any two distinct points have disjoint neighborhoods. The statement suggests that if two spaces, X and Y, individually have the Hausdorff property, then their product space (denoted as X x Y) also has the Hausdorff property. This is an important property used in various fields within mathematics and its applications.
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