A book chapter: Spatial semantics - definitions...

This book would appear to be an essential reference in respect of h2cm, the following is from chapter 13:

Spatial semantics is the study of the meaning of spatial language, but what is to be regarded as ‘spatial language’? A moment’s reflection suffices to show that the answer to this question is anything but trivial, since SPACE is not a self-contained ‘semantic field’, but rather constitutes an important part of the background for all conceptualization and meaning (Kant [1787] 1964). Furthermore, the term ‘space’ has been used all too often in an extended, metaphorical sense in Cognitive Linguistics and Cognitive Science, e.g., ‘Space Grammar’ (Langacker 1982), ‘Mental Spaces’ (Fauconnier 1985), ‘Conceptual Spaces’ (Gärdenfors 2000). Hence, an unrestricted interpretation of the term ‘space’ might lead us to think that ‘all semantics is spatial semantics’, a conclusion that not even cognitive linguists would find too attractive. Therefore, the scope of spatial semantics needs to be restricted, and this can and has been done in at least three different ways: by form class, by semantic category, and by communicative function. The three definitions based on these restrictions do not coincide, however, and each leaves something to be desired.

Jordan Zlatev (2007) Spatial Semantics, Chapter 13. In. Hubert Cuyckens and Dirk Geeraerts (eds.) Handbook in Cognitive Linguistics. Oxford, Oxford University Press.