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LECTURE 2: COMPACTLY GENERATED SPACES References
... solution is to define a class of spaces for which (1.1) is a bijection. Definition 1.2. X is weak Hausdorff if for all compact K, and all continuous g : K → X, g(K) is closed. Note that Hausdorff spaces are weak Hausdorff. Definition 1.3. X is a kspace if the closed subsets are detected by maps of compac ...
... solution is to define a class of spaces for which (1.1) is a bijection. Definition 1.2. X is weak Hausdorff if for all compact K, and all continuous g : K → X, g(K) is closed. Note that Hausdorff spaces are weak Hausdorff. Definition 1.3. X is a kspace if the closed subsets are detected by maps of compac ...
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... Hi everyone! Here is your first homework assignment. I’ll be adding questions to it over the next week or so, I’ll announce in class (and change the website announcement) when it’s final. Good luck! These 10 questions are all that will be part of homework # 1! It’s due date is February 9th. 1. Recal ...
... Hi everyone! Here is your first homework assignment. I’ll be adding questions to it over the next week or so, I’ll announce in class (and change the website announcement) when it’s final. Good luck! These 10 questions are all that will be part of homework # 1! It’s due date is February 9th. 1. Recal ...
H-CLOSED SPACES AND THE ASSOCIATED 9
... in general not every closed subset of a quasi //-closed space is quasi //-closed, we have the following definition due to G. Viglino [9]: A topological space is C-compact if each closed subset of the space is an //-subset. ...
... in general not every closed subset of a quasi //-closed space is quasi //-closed, we have the following definition due to G. Viglino [9]: A topological space is C-compact if each closed subset of the space is an //-subset. ...