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Steven Clontz
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In Rezk - Compactly generated spaces a k-Hausdorff property is defined, between weakly Hausdorff and unique sequential limits.

On the other hand, a differentstronger notion of k-Hausdorff between $T_2$ and compacts are closed was already in use in the literature, e.g. Lawson and Madison - Quotients of k-semigroups.

Has the weaker k-Hausdorff property appeared in the literature beyond thatRezk's nlab note? The preamble seemed to indicate it was novel. See also some discussion at Math.SE.

In Rezk - Compactly generated spaces a k-Hausdorff property is defined, between weakly Hausdorff and unique sequential limits.

On the other hand, a different notion of k-Hausdorff between $T_2$ and compacts are closed was already in use in the literature, e.g. Lawson and Madison - Quotients of k-semigroups.

Has the weaker k-Hausdorff property appeared in the literature beyond that nlab note? The preamble seemed to indicate it was novel. See also some discussion at Math.SE.

In Rezk - Compactly generated spaces a k-Hausdorff property is defined, between weakly Hausdorff and unique sequential limits.

On the other hand, a stronger notion of k-Hausdorff between $T_2$ and compacts are closed was already in use in the literature, e.g. Lawson and Madison - Quotients of k-semigroups.

Has the weaker k-Hausdorff property appeared in the literature beyond Rezk's nlab note? The preamble seemed to indicate it was novel. See also some discussion at Math.SE.

Names of references; $k$-Hausdorff -> k-Hausdorff
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LSpice
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In this noteRezk - Compactly generated spaces a $k$k-Hausdorff property is defined, between weakly Hausdorff and unique sequential limits.

On the other hand, a different notion of $k$k-Hausdorff between $T_2$ and compacts are closed was already in use in the literature, e.g. https://doi.org/10.1007%2FBF02194829Lawson and Madison - Quotients of k-semigroups.

Has the weaker $k$k-Hausdorff property appeared in the literature beyond that nlab note? The preamble seemed to indicate it was novel. See also some discussion at Math.SEMath.SE.

In this note a $k$-Hausdorff property is defined, between weakly Hausdorff and unique sequential limits.

On the other hand, a different notion of $k$-Hausdorff between $T_2$ and compacts are closed was already in use in the literature, e.g. https://doi.org/10.1007%2FBF02194829.

Has the weaker $k$-Hausdorff property appeared in the literature beyond that nlab note? The preamble seemed to indicate it was novel. See also some discussion at Math.SE.

In Rezk - Compactly generated spaces a k-Hausdorff property is defined, between weakly Hausdorff and unique sequential limits.

On the other hand, a different notion of k-Hausdorff between $T_2$ and compacts are closed was already in use in the literature, e.g. Lawson and Madison - Quotients of k-semigroups.

Has the weaker k-Hausdorff property appeared in the literature beyond that nlab note? The preamble seemed to indicate it was novel. See also some discussion at Math.SE.

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Steven Clontz
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Reference for k-Hausdorff (in terms of compact T2 images)

In this note a $k$-Hausdorff property is defined, between weakly Hausdorff and unique sequential limits.

On the other hand, a different notion of $k$-Hausdorff between $T_2$ and compacts are closed was already in use in the literature, e.g. https://doi.org/10.1007%2FBF02194829.

Has the weaker $k$-Hausdorff property appeared in the literature beyond that nlab note? The preamble seemed to indicate it was novel. See also some discussion at Math.SE.